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117086310 = 23451117773
BaseRepresentation
bin1101111101010…
…01100001100110
322011022121020000
412332221201212
5214433230220
615341322130
72621134335
oct676514146
9264277200
10117086310
1160101750
1233266346
131b346953
141179bd1c
15a42c390
hex6fa9866

117086310 has 160 divisors (see below), whose sum is σ = 364126752. Its totient is φ = 26680320.

The previous prime is 117086309. The next prime is 117086317. The reversal of 117086310 is 13680711.

It is a super-2 number, since 2×1170863102 = 27418407978832200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117086317) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 151084 + ... + 151856.

Almost surely, 2117086310 is an apocalyptic number.

117086310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117086310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182063376).

117086310 is an abundant number, since it is smaller than the sum of its proper divisors (247040442).

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

117086310 is a wasteful number, since it uses less digits than its factorization.

117086310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 117086310 is about 10820.6427720353. The cubic root of 117086310 is about 489.2175628675.

The spelling of 117086310 in words is "one hundred seventeen million, eighty-six thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 27 30 33 34 45 51 54 55 66 81 85 90 99 102 110 135 153 162 165 170 187 198 255 270 297 306 330 374 405 459 495 510 561 594 765 773 810 891 918 935 990 1122 1377 1485 1530 1546 1683 1782 1870 2295 2319 2754 2805 2970 3366 3865 4455 4590 4638 5049 5610 6885 6957 7730 8415 8503 8910 10098 11595 13141 13770 13914 15147 16830 17006 20871 23190 25245 25509 26282 30294 34785 39423 41742 42515 50490 51018 62613 65705 69570 75735 76527 78846 85030 104355 118269 125226 127545 131410 144551 151470 153054 197115 208710 229581 236538 255090 289102 313065 354807 382635 394230 433653 459162 591345 626130 688743 709614 722755 765270 867306 1064421 1147905 1182690 1300959 1377486 1445510 1774035 2128842 2168265 2295810 2601918 3443715 3548070 3902877 4336530 5322105 6504795 6887430 7805754 10644210 11708631 13009590 19514385 23417262 39028770 58543155 117086310