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117036832 = 25112331427
BaseRepresentation
bin1101111100111…
…01011100100000
322011020002100111
412332131130200
5214430134312
615340301104
72620540153
oct676353440
9264202314
10117036832
1160078560
1233241794
131b32a283
1411787c9a
15a41c8a7
hex6f9d720

117036832 has 48 divisors (see below), whose sum is σ = 252618912. Its totient is φ = 52933120.

The previous prime is 117036817. The next prime is 117036839. The reversal of 117036832 is 238630711.

It is a junction number, because it is equal to n+sod(n) for n = 117036794 and 117036803.

It is not an unprimeable number, because it can be changed into a prime (117036839) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81303 + ... + 82729.

It is an arithmetic number, because the mean of its divisors is an integer number (5262894).

Almost surely, 2117036832 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 117036832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126309456).

117036832 is an abundant number, since it is smaller than the sum of its proper divisors (135582080).

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

117036832 is a wasteful number, since it uses less digits than its factorization.

117036832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 117036832 is about 10818.3562522224. The cubic root of 117036832 is about 489.1486424362.

The spelling of 117036832 in words is "one hundred seventeen million, thirty-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 233 352 466 932 1427 1864 2563 2854 3728 5126 5708 7456 10252 11416 15697 20504 22832 31394 41008 45664 62788 82016 125576 251152 332491 502304 664982 1329964 2659928 3657401 5319856 7314802 10639712 14629604 29259208 58518416 117036832