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116787432 = 23359671231
BaseRepresentation
bin1101111011000…
…00100011101000
322010202102020110
412331200203220
5214344144212
615331054320
72615451066
oct675404350
9263672213
10116787432
115aa18143
12331413a0
131b2708b8
1411721036
15a3bda3c
hex6f608e8

116787432 has 64 divisors (see below), whose sum is σ = 301593600. Its totient is φ = 37667520.

The previous prime is 116787413. The next prime is 116787443. The reversal of 116787432 is 234787611.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94257 + ... + 95487.

It is an arithmetic number, because the mean of its divisors is an integer number (4712400).

Almost surely, 2116787432 is an apocalyptic number.

116787432 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 116787432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150796800).

116787432 is an abundant number, since it is smaller than the sum of its proper divisors (184806168).

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

116787432 is a wasteful number, since it uses less digits than its factorization.

116787432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1362 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 116787432 is about 10806.8234000561. The cubic root of 116787432 is about 488.8009444044.

It can be divided in two parts, 11678 and 7432, that added together give a triangular number (19110 = T195).

The spelling of 116787432 in words is "one hundred sixteen million, seven hundred eighty-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 59 67 118 134 177 201 236 268 354 402 472 536 708 804 1231 1416 1608 2462 3693 3953 4924 7386 7906 9848 11859 14772 15812 23718 29544 31624 47436 72629 82477 94872 145258 164954 217887 247431 290516 329908 435774 494862 581032 659816 871548 989724 1743096 1979448 4866143 9732286 14598429 19464572 29196858 38929144 58393716 116787432