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116504832 = 283295231
BaseRepresentation
bin1101111000110…
…11100100000000
322010020001120210
412330123210000
5214311123312
615321034120
72613163143
oct674334400
9263201523
10116504832
115a844894
1233025940
131b1a2092
141168a05a
15a364e3c
hex6f1b900

116504832 has 72 divisors (see below), whose sum is σ = 320826240. Its totient is φ = 37488640.

The previous prime is 116504819. The next prime is 116504837. The reversal of 116504832 is 238405611.

It is a self number, because there is not a number n which added to its sum of digits gives 116504832.

It is not an unprimeable number, because it can be changed into a prime (116504837) 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, 19657 + ... + 24887.

It is an arithmetic number, because the mean of its divisors is an integer number (4455920).

Almost surely, 2116504832 is an apocalyptic number.

116504832 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 116504832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160413120).

116504832 is an abundant number, since it is smaller than the sum of its proper divisors (204321408).

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

116504832 is an equidigital number, since it uses as much as digits as its factorization.

116504832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5279 (or 5265 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 116504832 is about 10793.7404082181. The cubic root of 116504832 is about 488.4063622321.

The spelling of 116504832 in words is "one hundred sixteen million, five hundred four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1392 1856 2784 3712 5231 5568 7424 10462 11136 15693 20924 22272 31386 41848 62772 83696 125544 151699 167392 251088 303398 334784 455097 502176 606796 669568 910194 1004352 1213592 1339136 1820388 2008704 2427184 3640776 4017408 4854368 7281552 9708736 14563104 19417472 29126208 38834944 58252416 116504832