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117668992 = 277273257
BaseRepresentation
bin1110000001101…
…11110010000000
322012102012111211
413000313302000
5220110401432
615402015504
72626112200
oct700676200
9265365454
10117668992
116046a501
12334a7594
131b4bbc2c
14118b0400
15a4e4d47
hex7037c80

117668992 has 96 divisors (see below), whose sum is σ = 277502220. Its totient is φ = 49545216.

The previous prime is 117668987. The next prime is 117669001. The reversal of 117668992 is 299866711.

It can be written as a sum of positive squares in 2 ways, for example, as 102738496 + 14930496 = 10136^2 + 3864^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 457728 + ... + 457984.

Almost surely, 2117668992 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 117668992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138751110).

117668992 is an abundant number, since it is smaller than the sum of its proper divisors (159833228).

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

117668992 is an equidigital number, since it uses as much as digits as its factorization.

117668992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 339 counting only the distinct ones).

The product of its digits is 326592, while the sum is 49.

The square root of 117668992 is about 10847.5339132911. The cubic root of 117668992 is about 490.0277535301.

The spelling of 117668992 in words is "one hundred seventeen million, six hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 73 98 112 128 146 196 224 257 292 392 448 511 514 584 784 896 1022 1028 1168 1568 1799 2044 2056 2336 3136 3577 3598 4088 4112 4672 6272 7154 7196 8176 8224 9344 12593 14308 14392 16352 16448 18761 25186 28616 28784 32704 32896 37522 50372 57232 57568 65408 75044 100744 114464 115136 131327 150088 201488 228928 230272 262654 300176 402976 457856 525308 600352 805952 919289 1050616 1200704 1611904 1838578 2101232 2401408 3677156 4202464 7354312 8404928 14708624 16809856 29417248 58834496 117668992