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117673664 = 267389283
BaseRepresentation
bin1110000001110…
…00111011000000
322012102102220212
413000320323000
5220111024124
615402053252
72626131623
oct700707300
9265372825
10117673664
1160472a69
12334aa228
131b4c10b4
14118b1dba
15a4e640e
hex7038ec0

117673664 has 56 divisors (see below), whose sum is σ = 240212880. Its totient is φ = 57176064.

The previous prime is 117673663. The next prime is 117673679. The reversal of 117673664 is 466376711.

It is not an unprimeable number, because it can be changed into a prime (117673663) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 415667 + ... + 415949.

Almost surely, 2117673664 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 117673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120106440).

117673664 is an abundant number, since it is smaller than the sum of its proper divisors (122539216).

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

117673664 is an equidigital number, since it uses as much as digits as its factorization.

117673664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 447 counting only the distinct ones).

The product of its digits is 127008, while the sum is 41.

The square root of 117673664 is about 10847.7492596391. The cubic root of 117673664 is about 490.0342388958.

The spelling of 117673664 in words is "one hundred seventeen million, six hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 73 89 146 178 283 292 356 566 584 712 1132 1168 1424 2264 2336 2848 4528 4672 5696 6497 9056 12994 18112 20659 25187 25988 41318 50374 51976 82636 100748 103952 165272 201496 207904 330544 402992 415808 661088 805984 1322176 1611968 1838651 3677302 7354604 14709208 29418416 58836832 117673664