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117385268 = 2271113191543
BaseRepresentation
bin1101111111100…
…10100000110100
322011212210022112
412333302200310
5220022312033
615351550152
72623521050
oct677624064
9264783275
10117385268
1160296320
123338b358
131b41ca50
1411838c60
15a48ac48
hex6ff2834

117385268 has 96 divisors (see below), whose sum is σ = 290519040. Its totient is φ = 39968640.

The previous prime is 117385253. The next prime is 117385277. The reversal of 117385268 is 862583711.

It is a super-2 number, since 2×1173852682 = 27558602286863648, which contains 22 as substring.

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, 75305 + ... + 76847.

It is an arithmetic number, because the mean of its divisors is an integer number (3026240).

Almost surely, 2117385268 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 117385268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145259520).

117385268 is an abundant number, since it is smaller than the sum of its proper divisors (173133772).

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

117385268 is a wasteful number, since it uses less digits than its factorization.

117385268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1595 counting only the distinct ones).

The product of its digits is 80640, while the sum is 41.

The square root of 117385268 is about 10834.4482092998. The cubic root of 117385268 is about 489.6335841818.

The spelling of 117385268 in words is "one hundred seventeen million, three hundred eighty-five thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 11 13 14 19 22 26 28 38 44 52 76 77 91 133 143 154 182 209 247 266 286 308 364 418 494 532 572 836 988 1001 1463 1543 1729 2002 2717 2926 3086 3458 4004 5434 5852 6172 6916 10801 10868 16973 19019 20059 21602 29317 33946 38038 40118 43204 58634 67892 76076 80236 117268 118811 140413 205219 220649 237622 280826 322487 381121 410438 441298 475244 561652 644974 762242 820876 882596 1289948 1524484 1544543 2257409 2667847 3089086 4192331 4514818 5335694 6178172 8384662 9029636 10671388 16769324 29346317 58692634 117385268