[go: up one dir, main page]

Search a number
-
+
117402912 = 25331121123
BaseRepresentation
bin1101111111101…
…10110100100000
322011220200112000
412333312310200
5220023343122
615352204000
72623623354
oct677666440
9264820460
10117402912
11602a8600
1233399600
131b427aa3
1411841464
15a4910ac
hex6ff6d20

117402912 has 144 divisors (see below), whose sum is σ = 376719840. Its totient is φ = 35544960.

The previous prime is 117402899. The next prime is 117402913. The reversal of 117402912 is 219204711.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (117402913) 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, 103983 + ... + 105105.

It is an arithmetic number, because the mean of its divisors is an integer number (2616110).

Almost surely, 2117402912 is an apocalyptic number.

117402912 is a gapful number since it is divisible by the number (12) 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 117402912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188359920).

117402912 is an abundant number, since it is smaller than the sum of its proper divisors (259316928).

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

117402912 is a wasteful number, since it uses less digits than its factorization.

117402912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1139 counting only the distinct ones).

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

The square root of 117402912 is about 10835.2624333700. The cubic root of 117402912 is about 489.6581149777.

The spelling of 117402912 in words is "one hundred seventeen million, four hundred two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 121 132 144 176 198 216 242 264 288 297 352 363 396 432 484 528 594 726 792 864 968 1056 1089 1123 1188 1452 1584 1936 2178 2246 2376 2904 3168 3267 3369 3872 4356 4492 4752 5808 6534 6738 8712 8984 9504 10107 11616 12353 13068 13476 17424 17968 20214 24706 26136 26952 30321 34848 35936 37059 40428 49412 52272 53904 60642 74118 80856 98824 104544 107808 111177 121284 135883 148236 161712 197648 222354 242568 271766 296472 323424 333531 395296 407649 444708 485136 543532 592944 667062 815298 889416 970272 1087064 1185888 1222947 1334124 1630596 1778832 2174128 2445894 2668248 3261192 3557664 3668841 4348256 4891788 5336496 6522384 7337682 9783576 10672992 13044768 14675364 19567152 29350728 39134304 58701456 117402912