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116485632 = 2932171487
BaseRepresentation
bin1101111000101…
…10111000000000
322010012002020200
412330112320000
5214310020012
615320405200
72613053154
oct674267000
9263162220
10116485632
115a83141a
1233016800
131b196413
1411683064
15a35e3dc
hex6f16e00

116485632 has 120 divisors (see below), whose sum is σ = 356200416. Its totient is φ = 36519936.

The previous prime is 116485619. The next prime is 116485669. The reversal of 116485632 is 236584611.

It is a happy number.

116485632 is a `hidden beast` number, since 1 + 1 + 648 + 5 + 6 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77593 + ... + 79079.

Almost surely, 2116485632 is an apocalyptic number.

116485632 is a gapful number since it is divisible by the number (12) 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 116485632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178100208).

116485632 is an abundant number, since it is smaller than the sum of its proper divisors (239714784).

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

116485632 is a wasteful number, since it uses less digits than its factorization.

116485632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1509 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 116485632 is about 10792.8509671912. The cubic root of 116485632 is about 488.3795309634.

The spelling of 116485632 in words is "one hundred sixteen million, four hundred eighty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1088 1152 1224 1487 1536 1632 2176 2304 2448 2974 3264 4352 4461 4608 4896 5948 6528 8704 8922 9792 11896 13056 13383 17844 19584 23792 25279 26112 26766 35688 39168 47584 50558 53532 71376 75837 78336 95168 101116 107064 142752 151674 190336 202232 214128 227511 285504 303348 380672 404464 428256 455022 571008 606696 761344 808928 856512 910044 1142016 1213392 1617856 1713024 1820088 2284032 2426784 3235712 3426048 3640176 4853568 6471424 6852096 7280352 9707136 12942848 14560704 19414272 29121408 38828544 58242816 116485632