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116892144 = 24327191129
BaseRepresentation
bin1101111011110…
…10000111110000
322010221201212200
412331322013300
5214411022034
615333223200
72616365265
oct675720760
9263851780
10116892144
115aa89886
1233191b00
131b2a9465
141174b26c
15a3dea99
hex6f7a1f0

116892144 has 60 divisors (see below), whose sum is σ = 327880800. Its totient is φ = 38875392.

The previous prime is 116892133. The next prime is 116892163. The reversal of 116892144 is 441298611.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 116892099 and 116892108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102972 + ... + 104100.

It is an arithmetic number, because the mean of its divisors is an integer number (5464680).

Almost surely, 2116892144 is an apocalyptic number.

It is an amenable number.

116892144 is an abundant number, since it is smaller than the sum of its proper divisors (210988656).

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

116892144 is a wasteful number, since it uses less digits than its factorization.

116892144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1853 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 116892144 is about 10811.6670314989. The cubic root of 116892144 is about 488.9469876163.

The spelling of 116892144 in words is "one hundred sixteen million, eight hundred ninety-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 719 1129 1438 2157 2258 2876 3387 4314 4516 5752 6471 6774 8628 9032 10161 11504 12942 13548 17256 18064 20322 25884 27096 34512 40644 51768 54192 81288 103536 162576 811751 1623502 2435253 3247004 4870506 6494008 7305759 9741012 12988016 14611518 19482024 29223036 38964048 58446072 116892144