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116637136 = 24711175569
BaseRepresentation
bin1101111001110…
…11110111010000
322010110210001221
412330323313100
5214324342021
615323534424
72614253650
oct674736720
9263423057
10116637136
115a925230
123308a414
131b21a375
14116c2360
15a38e241
hex6f3bdd0

116637136 has 80 divisors (see below), whose sum is σ = 298373760. Its totient is φ = 42762240.

The previous prime is 116637133. The next prime is 116637139. The reversal of 116637136 is 631736611.

It is an interprime number because it is at equal distance from previous prime (116637133) and next prime (116637139).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116637133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18160 + ... + 23728.

It is an arithmetic number, because the mean of its divisors is an integer number (3729672).

Almost surely, 2116637136 is an apocalyptic number.

116637136 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 116637136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149186880).

116637136 is an abundant number, since it is smaller than the sum of its proper divisors (181736624).

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

116637136 is a wasteful number, since it uses less digits than its factorization.

116637136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5612 (or 5606 counting only the distinct ones).

The product of its digits is 13608, while the sum is 34.

The square root of 116637136 is about 10799.8674065935. The cubic root of 116637136 is about 488.5911719358.

The spelling of 116637136 in words is "one hundred sixteen million, six hundred thirty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 136 154 176 187 238 272 308 374 476 616 748 952 1232 1309 1496 1904 2618 2992 5236 5569 10472 11138 20944 22276 38983 44552 61259 77966 89104 94673 122518 155932 189346 245036 311864 378692 428813 490072 623728 662711 757384 857626 980144 1041403 1325422 1514768 1715252 2082806 2650844 3430504 4165612 5301688 6861008 7289821 8331224 10603376 14579642 16662448 29159284 58318568 116637136