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117083540 = 22572373229
BaseRepresentation
bin1101111101010…
…00110110010100
322011022110102102
412332220312110
5214433133130
615341301232
72621123300
oct676506624
9264273372
10117083540
11600aa662
1233264818
131b345602
141179ad00
15a42b645
hex6fa8d94

117083540 has 72 divisors (see below), whose sum is σ = 293839560. Its totient is φ = 39045888.

The previous prime is 117083537. The next prime is 117083563. The reversal of 117083540 is 45380711.

It can be written as a sum of positive squares in 4 ways, for example, as 21864976 + 95218564 = 4676^2 + 9758^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34646 + ... + 37874.

It is an arithmetic number, because the mean of its divisors is an integer number (4081105).

Almost surely, 2117083540 is an apocalyptic number.

117083540 is a gapful number since it is divisible by the number (10) 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 117083540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146919780).

117083540 is an abundant number, since it is smaller than the sum of its proper divisors (176756020).

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

117083540 is a wasteful number, since it uses less digits than its factorization.

117083540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 117083540 is about 10820.5147751851. The cubic root of 117083540 is about 489.2137049063.

The spelling of 117083540 in words is "one hundred seventeen million, eighty-three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 140 148 185 196 245 259 370 490 518 740 980 1036 1295 1813 2590 3229 3626 5180 6458 7252 9065 12916 16145 18130 22603 32290 36260 45206 64580 90412 113015 119473 158221 226030 238946 316442 452060 477892 597365 632884 791105 836311 1194730 1582210 1672622 2389460 3164420 3345244 4181555 5854177 8363110 11708354 16726220 23416708 29270885 58541770 117083540