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117718336 = 2617257421
BaseRepresentation
bin1110000010000…
…11110101000000
322012111201012101
413001003311000
5220113441321
615403040144
72626406101
oct701036500
9265451171
10117718336
11604a358a
1233510054
131b508528
14118c43a8
15a504791
hex7043d40

117718336 has 56 divisors (see below), whose sum is σ = 248890536. Its totient is φ = 55050240.

The previous prime is 117718291. The next prime is 117718343. The reversal of 117718336 is 633817711.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28302400 + 89415936 = 5320^2 + 9456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 117718295 and 117718304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279406 + ... + 279826.

Almost surely, 2117718336 is an apocalyptic number.

117718336 is a gapful number since it is divisible by the number (16) 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 117718336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124445268).

117718336 is an abundant number, since it is smaller than the sum of its proper divisors (131172200).

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

117718336 is a wasteful number, since it uses less digits than its factorization.

117718336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 697 counting only the distinct ones).

The product of its digits is 21168, while the sum is 37.

The square root of 117718336 is about 10849.8081089022. The cubic root of 117718336 is about 490.0962409878.

The spelling of 117718336 in words is "one hundred seventeen million, seven hundred eighteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 257 272 421 514 544 842 1028 1088 1684 2056 3368 4112 4369 6736 7157 8224 8738 13472 14314 16448 17476 26944 28628 34952 57256 69904 108197 114512 139808 216394 229024 279616 432788 458048 865576 1731152 1839349 3462304 3678698 6924608 7357396 14714792 29429584 58859168 117718336