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117659136 = 293731353
BaseRepresentation
bin1110000001101…
…01011000000000
322012101200222210
413000311120000
5220110043021
615401502120
72626041360
oct700653000
9265350883
10117659136
1160463061
12334a1940
131b4b75ba
14118aa9a0
15a4e1e76
hex7035600

117659136 has 160 divisors (see below), whose sum is σ = 370833408. Its totient is φ = 32440320.

The previous prime is 117659117. The next prime is 117659147. The reversal of 117659136 is 631956711.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 117659094 and 117659103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333136 + ... + 333488.

Almost surely, 2117659136 is an apocalyptic number.

117659136 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 117659136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185416704).

117659136 is an abundant number, since it is smaller than the sum of its proper divisors (253174272).

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

117659136 is an equidigital number, since it uses as much as digits as its factorization.

117659136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 396 counting only the distinct ones).

The product of its digits is 34020, while the sum is 39.

The square root of 117659136 is about 10847.0796069726. The cubic root of 117659136 is about 490.0140715104.

The spelling of 117659136 in words is "one hundred seventeen million, six hundred fifty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 353 372 384 434 448 496 512 651 672 706 744 768 868 896 992 1059 1302 1344 1412 1488 1536 1736 1792 1984 2118 2471 2604 2688 2824 2976 3472 3584 3968 4236 4942 5208 5376 5648 5952 6944 7413 7936 8472 9884 10416 10752 10943 11296 11904 13888 14826 15872 16944 19768 20832 21886 22592 23808 27776 29652 32829 33888 39536 41664 43772 45184 47616 55552 59304 65658 67776 76601 79072 83328 87544 90368 111104 118608 131316 135552 153202 158144 166656 175088 180736 229803 237216 262632 271104 306404 316288 333312 350176 459606 474432 525264 542208 612808 632576 700352 919212 948864 1050528 1225616 1265152 1400704 1838424 1897728 2101056 2451232 2801408 3676848 3795456 4202112 4902464 5602816 7353696 8404224 9804928 14707392 16808448 19609856 29414784 39219712 58829568 117659136