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116437392 = 2433409659
BaseRepresentation
bin1101111000010…
…11000110010000
322010002122002000
412330023012100
5214301444032
615315354000
72612462421
oct674130620
9263078060
10116437392
115a7a9155
1232bb2900
131b17a486
141166d648
15a34ee7c
hex6f0b190

116437392 has 80 divisors (see below), whose sum is σ = 335544000. Its totient is φ = 38658816.

The previous prime is 116437367. The next prime is 116437393. The reversal of 116437392 is 293734611.

116437392 is a `hidden beast` number, since 1 + 1 + 643 + 7 + 3 + 9 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (116437393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176359 + ... + 177017.

It is an arithmetic number, because the mean of its divisors is an integer number (4194300).

Almost surely, 2116437392 is an apocalyptic number.

116437392 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 116437392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167772000).

116437392 is an abundant number, since it is smaller than the sum of its proper divisors (219106608).

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

116437392 is a wasteful number, since it uses less digits than its factorization.

116437392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1073 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 116437392 is about 10790.6159231065. The cubic root of 116437392 is about 488.3121043887.

The spelling of 116437392 in words is "one hundred sixteen million, four hundred thirty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 409 432 659 818 1227 1318 1636 1977 2454 2636 3272 3681 3954 4908 5272 5931 6544 7362 7908 9816 10544 11043 11862 14724 15816 17793 19632 22086 23724 29448 31632 35586 44172 47448 58896 71172 88344 94896 142344 176688 269531 284688 539062 808593 1078124 1617186 2156248 2425779 3234372 4312496 4851558 6468744 7277337 9703116 12937488 14554674 19406232 29109348 38812464 58218696 116437392