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117869688 = 23332931607
BaseRepresentation
bin1110000011010…
…00110001111000
322012210101211000
413001220301320
5220133312223
615410205000
72630606256
oct701506170
9265711730
10117869688
1160597272
1233583760
131b55c3a1
14119235d6
15a534543
hex7068c78

117869688 has 128 divisors (see below), whose sum is σ = 350208000. Its totient is φ = 36650880.

The previous prime is 117869681. The next prime is 117869737. The reversal of 117869688 is 886968711.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1161216) is a multiple of the sum of its prime divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117869681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193881 + ... + 194487.

It is an arithmetic number, because the mean of its divisors is an integer number (2736000).

Almost surely, 2117869688 is an apocalyptic number.

117869688 is a gapful number since it is divisible by the number (18) 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 117869688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175104000).

117869688 is an abundant number, since it is smaller than the sum of its proper divisors (232338312).

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

117869688 is a wasteful number, since it uses less digits than its factorization.

117869688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The square root of 117869688 is about 10856.7807383220. The cubic root of 117869688 is about 490.3061920776.

It can be divided in two parts, 11 and 7869688, that multiplied together give a palindrome (86566568).

The spelling of 117869688 in words is "one hundred seventeen million, eight hundred sixty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 31 36 54 58 62 72 87 93 108 116 124 174 186 216 232 248 261 279 348 372 522 558 607 696 744 783 837 899 1044 1116 1214 1566 1674 1798 1821 2088 2232 2428 2697 3132 3348 3596 3642 4856 5394 5463 6264 6696 7192 7284 8091 10788 10926 14568 16182 16389 17603 18817 21576 21852 24273 32364 32778 35206 37634 43704 48546 52809 56451 64728 65556 70412 75268 97092 105618 112902 131112 140824 150536 158427 169353 194184 211236 225804 316854 338706 422472 451608 475281 508059 545693 633708 677412 950562 1016118 1091386 1267416 1354824 1637079 1901124 2032236 2182772 3274158 3802248 4064472 4365544 4911237 6548316 9822474 13096632 14733711 19644948 29467422 39289896 58934844 117869688