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117869664 = 25311232211
BaseRepresentation
bin1110000011010…
…00110001100000
322012210101210010
413001220301200
5220133312124
615410204520
72630606223
oct701506140
9265711703
10117869664
1160597250
1233583740
131b55c383
14119235ba
15a534529
hex7068c60

117869664 has 144 divisors (see below), whose sum is σ = 354521664. Its totient is φ = 34003200.

The previous prime is 117869663. The next prime is 117869671. The reversal of 117869664 is 466968711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117869663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558519 + ... + 558729.

It is an arithmetic number, because the mean of its divisors is an integer number (2461956).

Almost surely, 2117869664 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 117869664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177260832).

117869664 is an abundant number, since it is smaller than the sum of its proper divisors (236652000).

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

117869664 is a wasteful number, since it uses less digits than its factorization.

117869664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 250 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 117869664 is about 10856.7796330219. The cubic root of 117869664 is about 490.3061587998.

The spelling of 117869664 in words is "one hundred seventeen million, eight hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 211 253 264 276 352 368 422 506 528 529 552 633 736 759 844 1012 1056 1058 1104 1266 1518 1587 1688 2024 2116 2208 2321 2532 3036 3174 3376 4048 4232 4642 4853 5064 5819 6072 6348 6752 6963 8096 8464 9284 9706 10128 11638 12144 12696 13926 14559 16928 17457 18568 19412 20256 23276 24288 25392 27852 29118 34914 37136 38824 46552 50784 53383 55704 58236 69828 74272 77648 93104 106766 111408 111619 116472 139656 155296 160149 186208 213532 222816 223238 232944 279312 320298 334857 427064 446476 465888 558624 640596 669714 854128 892952 1227809 1281192 1339428 1708256 1785904 2455618 2562384 2678856 3571808 3683427 4911236 5124768 5357712 7366854 9822472 10715424 14733708 19644944 29467416 39289888 58934832 117869664