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116584884 = 2232132310831
BaseRepresentation
bin1101111001011…
…11000110110100
322010101010101200
412330233012310
5214321204014
615322452500
72613645423
oct674570664
9263333350
10116584884
115a899a49
1233064130
131b1cc650
14116ab2ba
15a37da09
hex6f2f1b4

116584884 has 72 divisors (see below), whose sum is σ = 331199232. Its totient is φ = 34309440.

The previous prime is 116584877. The next prime is 116584889. The reversal of 116584884 is 488485611.

116584884 is a `hidden beast` number, since 1 + 165 + 8 + 488 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116584889) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5349 + ... + 16179.

Almost surely, 2116584884 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 116584884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165599616).

116584884 is an abundant number, since it is smaller than the sum of its proper divisors (214614348).

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

116584884 is a wasteful number, since it uses less digits than its factorization.

116584884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10877 (or 10872 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 116584884 is about 10797.4480318268. The cubic root of 116584884 is about 488.5182000960.

The spelling of 116584884 in words is "one hundred sixteen million, five hundred eighty-four thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1794 2691 3588 5382 10764 10831 21662 32493 43324 64986 97479 129972 140803 194958 249113 281606 389916 422409 498226 563212 747339 844818 996452 1267227 1494678 1689636 2242017 2534454 2989356 3238469 4484034 5068908 6476938 8968068 9715407 12953876 19430814 29146221 38861628 58292442 116584884