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151116992 = 26132353149
BaseRepresentation
bin10010000000111…
…01110011000000
3101112100112112122
421000131303000
5302141220432
622554543412
73513321215
oct1100356300
9345315478
10151116992
1178335484
1242737b68
1325400450
14160d9b0c
15d400612
hex901dcc0

151116992 has 112 divisors (see below), whose sum is σ = 345643200. Its totient is φ = 65015808.

The previous prime is 151116983. The next prime is 151117003. The reversal of 151116992 is 299611151.

It is a super-2 number, since 2×1511169922 = 45672690542256128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1014134 + ... + 1014282.

It is an arithmetic number, because the mean of its divisors is an integer number (3086100).

Almost surely, 2151116992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151116992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172821600).

151116992 is an abundant number, since it is smaller than the sum of its proper divisors (194526208).

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

151116992 is a wasteful number, since it uses less digits than its factorization.

151116992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 240 counting only the distinct ones).

The product of its digits is 4860, while the sum is 35.

The square root of 151116992 is about 12292.9651427148. The cubic root of 151116992 is about 532.6448922796.

The spelling of 151116992 in words is "one hundred fifty-one million, one hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 53 64 92 104 106 149 184 208 212 298 299 368 416 424 596 598 689 736 832 848 1192 1196 1219 1378 1472 1696 1937 2384 2392 2438 2756 3392 3427 3874 4768 4784 4876 5512 6854 7748 7897 9536 9568 9752 11024 13708 15496 15794 15847 19136 19504 22048 27416 30992 31588 31694 39008 44096 44551 54832 61984 63176 63388 78016 89102 102661 109664 123968 126352 126776 178204 181631 205322 219328 252704 253552 356408 363262 410644 505408 507104 712816 726524 821288 1014208 1425632 1453048 1642576 2361203 2851264 2906096 3285152 4722406 5812192 6570304 9444812 11624384 18889624 37779248 75558496 151116992