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116073432 = 23331928283
BaseRepresentation
bin1101110101100…
…10001111011000
322002102010211000
412322302033120
5214203322212
615303505000
72606415336
oct672621730
9262363730
10116073432
115a57a762
1232a58160
131b080907
14115b6b56
15a2cc1dc
hex6eb23d8

116073432 has 64 divisors (see below), whose sum is σ = 339408000. Its totient is φ = 36653472.

The previous prime is 116073407. The next prime is 116073449. The reversal of 116073432 is 234370611.

116073432 is a `hidden beast` number, since 1 + 160 + 73 + 432 = 666.

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 = 116073396 and 116073405.

It is a congruent number.

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, 10038 + ... + 18245.

It is an arithmetic number, because the mean of its divisors is an integer number (5303250).

Almost surely, 2116073432 is an apocalyptic number.

116073432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

116073432 is an abundant number, since it is smaller than the sum of its proper divisors (223334568).

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

116073432 is a wasteful number, since it uses less digits than its factorization.

116073432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28317 (or 28307 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 116073432 is about 10773.7380699551. The cubic root of 116073432 is about 487.8027846835.

The spelling of 116073432 in words is "one hundred sixteen million, seventy-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 28283 56566 84849 113132 169698 226264 254547 339396 509094 537377 678792 763641 1018188 1074754 1527282 1612131 2036376 2149508 3054564 3224262 4299016 4836393 6109128 6448524 9672786 12897048 14509179 19345572 29018358 38691144 58036716 116073432