Search a number
-
+
117923256 = 233311311601
BaseRepresentation
bin1110000011101…
…01110110111000
322012220010022000
413001311312320
5220142021011
615411301000
72631221403
oct701656670
9265803260
10117923256
1160623540
12335aa760
131b57a899
1411938d3a
15a545356
hex7075db8

117923256 has 128 divisors (see below), whose sum is σ = 369100800. Its totient is φ = 34560000.

The previous prime is 117923249. The next prime is 117923263. The reversal of 117923256 is 652329711.

It is an interprime number because it is at equal distance from previous prime (117923249) and next prime (117923263).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 117923256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72856 + ... + 74456.

It is an arithmetic number, because the mean of its divisors is an integer number (2883600).

Almost surely, 2117923256 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 117923256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184550400).

117923256 is an abundant number, since it is smaller than the sum of its proper divisors (251177544).

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

117923256 is a wasteful number, since it uses less digits than its factorization.

117923256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1648 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 117923256 is about 10859.2474877406. The cubic root of 117923256 is about 490.3804569847.

The spelling of 117923256 in words is "one hundred seventeen million, nine hundred twenty-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 88 93 99 108 124 132 186 198 216 248 264 279 297 341 372 396 558 594 682 744 792 837 1023 1116 1188 1364 1601 1674 2046 2232 2376 2728 3069 3202 3348 4092 4803 6138 6404 6696 8184 9207 9606 12276 12808 14409 17611 18414 19212 24552 28818 35222 36828 38424 43227 49631 52833 57636 70444 73656 86454 99262 105666 115272 140888 148893 158499 172908 198524 211332 297786 316998 345816 397048 422664 446679 475497 545941 595572 633996 893358 950994 1091882 1191144 1267992 1340037 1637823 1786716 1901988 2183764 2680074 3275646 3573432 3803976 4367528 4913469 5360148 6551292 9826938 10720296 13102584 14740407 19653876 29480814 39307752 58961628 117923256