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117425640 = 23352941823
BaseRepresentation
bin1101111111111…
…00010111101000
322011221211200210
412333330113220
5220030110030
615352501120
72624046543
oct677742750
9264854623
10117425640
1160313692
12333aa7a0
131b435237
141184985a
15a497bb0
hex6ffc5e8

117425640 has 128 divisors (see below), whose sum is σ = 373766400. Its totient is φ = 29460480.

The previous prime is 117425617. The next prime is 117425641. The reversal of 117425640 is 46524711.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 117425598 and 117425607.

It is not an unprimeable number, because it can be changed into a prime (117425641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142269 + ... + 143091.

It is an arithmetic number, because the mean of its divisors is an integer number (2920050).

Almost surely, 2117425640 is an apocalyptic number.

117425640 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 117425640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186883200).

117425640 is an abundant number, since it is smaller than the sum of its proper divisors (256340760).

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

117425640 is a wasteful number, since it uses less digits than its factorization.

117425640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 117425640 is about 10836.3111804710. The cubic root of 117425640 is about 489.6897105358.

The spelling of 117425640 in words is "one hundred seventeen million, four hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 41 58 60 82 87 116 120 123 145 164 174 205 232 246 290 328 348 410 435 492 580 615 696 820 823 870 984 1160 1189 1230 1640 1646 1740 2378 2460 2469 3292 3480 3567 4115 4756 4920 4938 5945 6584 7134 8230 9512 9876 11890 12345 14268 16460 17835 19752 23780 23867 24690 28536 32920 33743 35670 47560 47734 49380 67486 71340 71601 95468 98760 101229 119335 134972 142680 143202 168715 190936 202458 238670 269944 286404 337430 358005 404916 477340 506145 572808 674860 716010 809832 954680 978547 1012290 1349720 1432020 1957094 2024580 2864040 2935641 3914188 4049160 4892735 5871282 7828376 9785470 11742564 14678205 19570940 23485128 29356410 39141880 58712820 117425640