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149960976 = 243111911487
BaseRepresentation
bin10001111000000…
…11100100010000
3101110011210210020
420330003210100
5301342222401
622514103440
73500435004
oct1074034420
9343153706
10149960976
11777159a0
124227ab80
13250b7209
1415cb8704
15d272d36
hex8f03910

149960976 has 80 divisors (see below), whose sum is σ = 425115648. Its totient is φ = 45174400.

The previous prime is 149960953. The next prime is 149960999. The reversal of 149960976 is 679069941.

It is an interprime number because it is at equal distance from previous prime (149960953) and next prime (149960999).

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, 100105 + ... + 101591.

Almost surely, 2149960976 is an apocalyptic number.

149960976 is a gapful number since it is divisible by the number (16) 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 149960976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212557824).

149960976 is an abundant number, since it is smaller than the sum of its proper divisors (275154672).

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

149960976 is a wasteful number, since it uses less digits than its factorization.

149960976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The square root of 149960976 is about 12245.8554621553. The cubic root of 149960976 is about 531.2832037194.

The spelling of 149960976 in words is "one hundred forty-nine million, nine hundred sixty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 191 264 382 528 573 764 1146 1487 1528 2101 2292 2974 3056 4202 4461 4584 5948 6303 8404 8922 9168 11896 12606 16357 16808 17844 23792 25212 32714 33616 35688 49071 50424 65428 71376 98142 100848 130856 196284 261712 284017 392568 568034 785136 852051 1136068 1704102 2272136 3124187 3408204 4544272 6248374 6816408 9372561 12496748 13632816 18745122 24993496 37490244 49986992 74980488 149960976