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150154830 = 23357531499
BaseRepresentation
bin10001111001100…
…10111001001110
3101110112122201000
420330302321032
5301414423310
622522201130
73502203120
oct1074627116
9343478630
10150154830
1177838601
12423531a6
1325154517
1415d29210
15d2b04c0
hex8f32e4e

150154830 has 128 divisors (see below), whose sum is σ = 466560000. Its totient is φ = 33651072.

The previous prime is 150154819. The next prime is 150154859. The reversal of 150154830 is 38451051.

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 = 150154794 and 150154803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99421 + ... + 100919.

It is an arithmetic number, because the mean of its divisors is an integer number (3645000).

Almost surely, 2150154830 is an apocalyptic number.

150154830 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 150154830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233280000).

150154830 is an abundant number, since it is smaller than the sum of its proper divisors (316405170).

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

150154830 is a wasteful number, since it uses less digits than its factorization.

150154830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 150154830 is about 12253.7679919280. The cubic root of 150154830 is about 531.5120344234.

The spelling of 150154830 in words is "one hundred fifty million, one hundred fifty-four thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 53 54 63 70 90 105 106 126 135 159 189 210 265 270 315 318 371 378 477 530 630 742 795 945 954 1113 1431 1499 1590 1855 1890 2226 2385 2862 2998 3339 3710 4497 4770 5565 6678 7155 7495 8994 10017 10493 11130 13491 14310 14990 16695 20034 20986 22485 26982 31479 33390 40473 44970 50085 52465 62958 67455 79447 80946 94437 100170 104930 134910 157395 158894 188874 202365 238341 283311 314790 397235 404730 472185 476682 556129 566622 715023 794470 944370 1112258 1191705 1416555 1430046 1668387 2145069 2383410 2780645 2833110 3336774 3575115 4290138 5005161 5561290 7150230 8341935 10010322 10725345 15015483 16683870 21450690 25025805 30030966 50051610 75077415 150154830