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116453052 = 22341918917
BaseRepresentation
bin1101111000011…
…10111010111100
322010010102120000
412330032322330
5214302444202
615315554300
72612556162
oct674167274
9263112500
10116453052
115a8099a1
1232bbb990
131b184641
1411675232
15a35491c
hex6f0eebc

116453052 has 60 divisors (see below), whose sum is σ = 320470920. Its totient is φ = 36772704.

The previous prime is 116453039. The next prime is 116453069. The reversal of 116453052 is 250354611.

116453052 is a `hidden beast` number, since 11 + 645 + 3 + 0 + 5 + 2 = 666.

It is a super-2 number, since 2×1164530522 = 27122626640229408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 3303 + ... + 15614.

It is an arithmetic number, because the mean of its divisors is an integer number (5341182).

Almost surely, 2116453052 is an apocalyptic number.

116453052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

116453052 is an abundant number, since it is smaller than the sum of its proper divisors (204017868).

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

116453052 is a wasteful number, since it uses less digits than its factorization.

116453052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18952 (or 18941 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 116453052 is about 10791.3415292076. The cubic root of 116453052 is about 488.3339949075. Note that the first 3 decimals are identical.

The spelling of 116453052 in words is "one hundred sixteen million, four hundred fifty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 6156 18917 37834 56751 75668 113502 170253 227004 340506 359423 510759 681012 718846 1021518 1078269 1437692 1532277 2043036 2156538 3064554 3234807 4313076 6129108 6469614 9704421 12939228 19408842 29113263 38817684 58226526 116453052