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116418960 = 24325723099
BaseRepresentation
bin1101111000001…
…10100110010000
322010001200210100
412330012212100
5214300401320
615315132400
72612354610
oct674064620
9263050710
10116418960
115a796319
1232ba4100
131b171c78
1411666a40
15a349790
hex6f06990

116418960 has 120 divisors (see below), whose sum is σ = 446846400. Its totient is φ = 26608896.

The previous prime is 116418959. The next prime is 116418961. The reversal of 116418960 is 69814611.

It is a happy number.

116418960 is a `hidden beast` number, since 1 + 1 + 641 + 8 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116418959) and next prime (116418961).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (116418961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6510 + ... + 16589.

It is an arithmetic number, because the mean of its divisors is an integer number (3723720).

Almost surely, 2116418960 is an apocalyptic number.

116418960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116418960 is an abundant number, since it is smaller than the sum of its proper divisors (330427440).

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

116418960 is a wasteful number, since it uses less digits than its factorization.

116418960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23125 (or 23116 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 116418960 is about 10789.7618138678. The cubic root of 116418960 is about 488.2863364816.

The spelling of 116418960 in words is "one hundred sixteen million, four hundred eighteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 23099 46198 69297 92396 115495 138594 161693 184792 207891 230990 277188 323386 346485 369584 415782 461980 485079 554376 646772 692970 808465 831564 923960 970158 1039455 1108752 1293544 1385940 1455237 1616930 1663128 1847920 1940316 2078910 2425395 2587088 2771880 2910474 3233860 3326256 3880632 4157820 4850790 5543760 5820948 6467720 7276185 7761264 8315640 9701580 11641896 12935440 14552370 16631280 19403160 23283792 29104740 38806320 58209480 116418960