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115720920 = 23335715307
BaseRepresentation
bin1101110010111…
…00001011011000
322001202020021000
412321130023120
5214111032140
615252145000
72603416530
oct671341330
9261666230
10115720920
115a359927
1232908160
131ac89323
14115244c0
15a25ca30
hex6e5c2d8

115720920 has 128 divisors (see below), whose sum is σ = 440870400. Its totient is φ = 26448768.

The previous prime is 115720919. The next prime is 115720949. The reversal of 115720920 is 29027511.

115720920 is a `hidden beast` number, since 1 + 1 + 572 + 0 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 94 + ... + 15213.

It is an arithmetic number, because the mean of its divisors is an integer number (3444300).

Almost surely, 2115720920 is an apocalyptic number.

115720920 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 115720920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220435200).

115720920 is an abundant number, since it is smaller than the sum of its proper divisors (325149480).

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

115720920 is a wasteful number, since it uses less digits than its factorization.

115720920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15334 (or 15324 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 115720920 is about 10757.3658485709. The cubic root of 115720920 is about 487.3084691392.

The spelling of 115720920 in words is "one hundred fifteen million, seven hundred twenty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 15307 30614 45921 61228 76535 91842 107149 122456 137763 153070 183684 214298 229605 275526 306140 321447 367368 413289 428596 459210 535745 551052 612280 642894 688815 826578 857192 918420 964341 1071490 1102104 1285788 1377630 1607235 1653156 1836840 1928682 2066445 2142980 2571576 2755260 2893023 3214470 3306312 3857364 4132890 4285960 4821705 5510520 5786046 6428940 7714728 8265780 9643410 11572092 12857880 14465115 16531560 19286820 23144184 28930230 38573640 57860460 115720920