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151332930 = 23257892699
BaseRepresentation
bin10010000010100…
…10100001000010
3101112202111202100
421001102201002
5302220123210
623003331230
73515210610
oct1101224102
9345674670
10151332930
1178472741
1242820b16
1325477818
14161546b0
15d4445c0
hex9052842

151332930 has 96 divisors (see below), whose sum is σ = 454896000. Its totient is φ = 34189056.

The previous prime is 151332919. The next prime is 151332959. The reversal of 151332930 is 39233151.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 151332894 and 151332903.

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, 54721 + ... + 57419.

It is an arithmetic number, because the mean of its divisors is an integer number (4738500).

Almost surely, 2151332930 is an apocalyptic number.

151332930 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 151332930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227448000).

151332930 is an abundant number, since it is smaller than the sum of its proper divisors (303563070).

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

151332930 is a wasteful number, since it uses less digits than its factorization.

151332930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 151332930 is about 12301.7449981700. The cubic root of 151332930 is about 532.8984784355.

It can be divided in two parts, 1513 and 32930, that added together give a palindrome (34443).

The spelling of 151332930 in words is "one hundred fifty-one million, three hundred thirty-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 89 90 105 126 178 210 267 315 445 534 623 630 801 890 1246 1335 1602 1869 2670 2699 3115 3738 4005 5398 5607 6230 8010 8097 9345 11214 13495 16194 18690 18893 24291 26990 28035 37786 40485 48582 56070 56679 80970 94465 113358 121455 170037 188930 240211 242910 283395 340074 480422 566790 720633 850185 1201055 1441266 1681477 1700370 2161899 2402110 3362954 3603165 4323798 5044431 7206330 8407385 10088862 10809495 15133293 16814770 21618990 25222155 30266586 50444310 75666465 151332930