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117270048 = 25371091601
BaseRepresentation
bin1101111110101…
…10011000100000
322011122221021010
412333112120200
5220010120143
615345300520
72622531120
oct677263040
9264587233
10117270048
11602177a5
1233334740
131b3ac47c
1411808c80
15a466a33
hex6fd6620

117270048 has 96 divisors (see below), whose sum is σ = 355259520. Its totient is φ = 33177600.

The previous prime is 117270019. The next prime is 117270053. The reversal of 117270048 is 840072711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 117269997 and 117270024.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72448 + ... + 74048.

It is an arithmetic number, because the mean of its divisors is an integer number (3700620).

Almost surely, 2117270048 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 117270048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177629760).

117270048 is an abundant number, since it is smaller than the sum of its proper divisors (237989472).

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

117270048 is a wasteful number, since it uses less digits than its factorization.

117270048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 117270048 is about 10829.1296049129. The cubic root of 117270048 is about 489.4733311083.

The spelling of 117270048 in words is "one hundred seventeen million, two hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 109 112 168 218 224 327 336 436 654 672 763 872 1308 1526 1601 1744 2289 2616 3052 3202 3488 4578 4803 5232 6104 6404 9156 9606 10464 11207 12208 12808 18312 19212 22414 24416 25616 33621 36624 38424 44828 51232 67242 73248 76848 89656 134484 153696 174509 179312 268968 349018 358624 523527 537936 698036 1047054 1075872 1221563 1396072 2094108 2443126 2792144 3664689 4188216 4886252 5584288 7329378 8376432 9772504 14658756 16752864 19545008 29317512 39090016 58635024 117270048