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150730632 = 23341329617
BaseRepresentation
bin10001111101111…
…11011110001000
3101111121220120000
420332333132020
5302041340012
622542403000
73510121623
oct1076773610
9344556500
10150730632
11780a1178
1242590460
13252c6630
1416038dba
15d375ddc
hex8fbf788

150730632 has 160 divisors (see below), whose sum is σ = 471101400. Its totient is φ = 44706816.

The previous prime is 150730631. The next prime is 150730633. The reversal of 150730632 is 236037051.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (150730631) and next prime (150730633).

It can be written as a sum of positive squares in 4 ways, for example, as 60746436 + 89984196 = 7794^2 + 9486^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 150730596 and 150730605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150730631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 243988 + ... + 244604.

Almost surely, 2150730632 is an apocalyptic number.

150730632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150730632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235550700).

150730632 is an abundant number, since it is smaller than the sum of its proper divisors (320370768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

150730632 is a wasteful number, since it uses less digits than its factorization.

150730632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 150730632 is about 12277.2404065409. The cubic root of 150730632 is about 532.1905680937.

Adding to 150730632 its reverse (236037051), we get a palindrome (386767683).

The spelling of 150730632 in words is "one hundred fifty million, seven hundred thirty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 29 36 39 52 54 58 72 78 81 87 104 108 116 117 156 162 174 216 232 234 261 312 324 348 351 377 468 522 617 648 696 702 754 783 936 1044 1053 1131 1234 1404 1508 1566 1851 2088 2106 2262 2349 2468 2808 3016 3132 3393 3702 4212 4524 4698 4936 5553 6264 6786 7404 8021 8424 9048 9396 10179 11106 13572 14808 16042 16659 17893 18792 20358 22212 24063 27144 30537 32084 33318 35786 40716 44424 48126 49977 53679 61074 64168 66636 71572 72189 81432 96252 99954 107358 122148 133272 143144 144378 161037 192504 199908 214716 216567 232609 244296 288756 322074 399816 429432 433134 465218 483111 577512 644148 649701 697827 866268 930436 966222 1288296 1299402 1395654 1449333 1732536 1860872 1932444 2093481 2598804 2791308 2898666 3864888 4186962 5197608 5582616 5797332 6280443 8373924 11594664 12560886 16747848 18841329 25121772 37682658 50243544 75365316 150730632