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117535140 = 223251934367
BaseRepresentation
bin1110000000101…
…11000110100100
322012011101220100
413000113012210
5220042111030
615355104100
72625014022
oct700270644
9265141810
10117535140
1160388988
1233442030
131b473028
1411877712
15a4ba360
hex70171a4

117535140 has 72 divisors (see below), whose sum is σ = 375298560. Its totient is φ = 29692224.

The previous prime is 117535123. The next prime is 117535141. The reversal of 117535140 is 41535711.

117535140 is a `hidden beast` number, since 117 + 535 + 14 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (117535141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13764 + ... + 20603.

It is an arithmetic number, because the mean of its divisors is an integer number (5212480).

Almost surely, 2117535140 is an apocalyptic number.

117535140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117535140 is an abundant number, since it is smaller than the sum of its proper divisors (257763420).

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

117535140 is a wasteful number, since it uses less digits than its factorization.

117535140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34401 (or 34396 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 117535140 is about 10841.3624605028. The cubic root of 117535140 is about 489.8418759534.

It can be divided in two parts, 1175 and 35140, that added together give a triangular number (36315 = T269).

The spelling of 117535140 in words is "one hundred seventeen million, five hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 34367 68734 103101 137468 171835 206202 309303 343670 412404 515505 618606 652973 687340 1031010 1237212 1305946 1546515 1958919 2062020 2611892 3093030 3264865 3917838 5876757 6186060 6529730 7835676 9794595 11753514 13059460 19589190 23507028 29383785 39178380 58767570 117535140