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117331968 = 2113132113
BaseRepresentation
bin1101111111001…
…01100000000000
322011210002012110
412333211200000
5220014110333
615350455320
72623206465
oct677454000
9264702173
10117331968
116025a276
1233364540
131b401700
141182366c
15a47a063
hex6fe5800

117331968 has 144 divisors (see below), whose sum is σ = 341719560. Its totient is φ = 35782656.

The previous prime is 117331961. The next prime is 117331979. The reversal of 117331968 is 869133711.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117331961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1038280 + ... + 1038392.

Almost surely, 2117331968 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 117331968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170859780).

117331968 is an abundant number, since it is smaller than the sum of its proper divisors (224387592).

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

117331968 is a wasteful number, since it uses less digits than its factorization.

117331968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 131 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 117331968 is about 10831.9881831546. The cubic root of 117331968 is about 489.5594652246.

The spelling of 117331968 in words is "one hundred seventeen million, three hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 113 128 156 169 192 208 226 256 312 338 339 384 416 452 507 512 624 676 678 768 832 904 1014 1024 1248 1352 1356 1469 1536 1664 1808 2028 2048 2496 2704 2712 2938 3072 3328 3616 4056 4407 4992 5408 5424 5876 6144 6656 7232 8112 8814 9984 10816 10848 11752 13312 14464 16224 17628 19097 19968 21632 21696 23504 26624 28928 32448 35256 38194 39936 43264 43392 47008 57291 57856 64896 70512 76388 79872 86528 86784 94016 114582 115712 129792 141024 152776 173056 173568 188032 229164 231424 259584 282048 305552 346112 347136 376064 458328 519168 564096 611104 694272 752128 916656 1038336 1128192 1222208 1504256 1833312 2256384 2444416 3008512 3666624 4512768 4888832 7333248 9025536 9777664 14666496 19555328 29332992 39110656 58665984 117331968