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150830130 = 235112371123
BaseRepresentation
bin10001111110101…
…11110000110010
3101111210222001010
420333113300302
5302103031010
622544451350
73511014663
oct1077276062
9344728033
10150830130
1178159a00
1242619b56
132532c9c9
141606336a
15d395620
hex8fd7c32

150830130 has 96 divisors (see below), whose sum is σ = 409010112. Its totient is φ = 35544960.

The previous prime is 150830123. The next prime is 150830149. The reversal of 150830130 is 31038051.

It is a happy number.

It is a super-3 number, since 3×1508301303 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150830097 and 150830106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133749 + ... + 134871.

It is an arithmetic number, because the mean of its divisors is an integer number (4260522).

Almost surely, 2150830130 is an apocalyptic number.

150830130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150830130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204505056).

150830130 is an abundant number, since it is smaller than the sum of its proper divisors (258179982).

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

150830130 is a wasteful number, since it uses less digits than its factorization.

150830130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 150830130 is about 12281.2918701576. The cubic root of 150830130 is about 532.3076428370.

Adding to 150830130 its reverse (31038051), we get a palindrome (181868181).

The spelling of 150830130 in words is "one hundred fifty million, eight hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 121 165 185 222 242 330 363 370 407 555 605 726 814 1110 1123 1210 1221 1815 2035 2246 2442 3369 3630 4070 4477 5615 6105 6738 8954 11230 12210 12353 13431 16845 22385 24706 26862 33690 37059 41551 44770 61765 67155 74118 83102 123530 124653 134310 135883 185295 207755 249306 271766 370590 407649 415510 457061 623265 679415 815298 914122 1246530 1358830 1371183 2038245 2285305 2742366 4076490 4570610 5027671 6855915 10055342 13711830 15083013 25138355 30166026 50276710 75415065 150830130