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116787024 = 243241131151
BaseRepresentation
bin1101111011000…
…00011101010000
322010202101200100
412331200131100
5214344141044
615331052400
72615446644
oct675403520
9263671610
10116787024
115aa17902
1233141100
131b270663
1411720c24
15a3bd869
hex6f60750

116787024 has 120 divisors (see below), whose sum is σ = 339603264. Its totient is φ = 37440000.

The previous prime is 116786959. The next prime is 116787029. The reversal of 116787024 is 420787611.

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

It is a self number, because there is not a number n which added to its sum of digits gives 116787024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116787029) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 773349 + ... + 773499.

Almost surely, 2116787024 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 116787024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169801632).

116787024 is an abundant number, since it is smaller than the sum of its proper divisors (222816240).

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

116787024 is a wasteful number, since it uses less digits than its factorization.

116787024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 116787024 is about 10806.8045230771. The cubic root of 116787024 is about 488.8003751907.

The spelling of 116787024 in words is "one hundred sixteen million, seven hundred eighty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 131 144 151 164 246 262 302 328 369 393 453 492 524 604 656 738 786 906 984 1048 1179 1208 1359 1476 1572 1812 1968 2096 2358 2416 2718 2952 3144 3624 4716 5371 5436 5904 6191 6288 7248 9432 10742 10872 12382 16113 18573 18864 19781 21484 21744 24764 32226 37146 39562 42968 48339 49528 55719 59343 64452 74292 79124 85936 96678 99056 111438 118686 128904 148584 158248 178029 193356 222876 237372 257808 297168 316496 356058 386712 445752 474744 712116 773424 811021 891504 949488 1424232 1622042 2433063 2848464 3244084 4866126 6488168 7299189 9732252 12976336 14598378 19464504 29196756 38929008 58393512 116787024