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115942320 = 24335134129
BaseRepresentation
bin1101110100100…
…10001110110000
322002011110222000
412322102032300
5214140123240
615301014000
72605331154
oct672221660
9262143860
10115942320
115a4a01aa
12329b4300
131b036030
1411581064
15a2a3430
hex6e923b0

115942320 has 160 divisors (see below), whose sum is σ = 430180800. Its totient is φ = 28532736.

The previous prime is 115942291. The next prime is 115942327. The reversal of 115942320 is 23249511.

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

It is not an unprimeable number, because it can be changed into a prime (115942327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26016 + ... + 30144.

It is an arithmetic number, because the mean of its divisors is an integer number (2688630).

Almost surely, 2115942320 is an apocalyptic number.

115942320 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 115942320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215090400).

115942320 is an abundant number, since it is smaller than the sum of its proper divisors (314238480).

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

115942320 is a wasteful number, since it uses less digits than its factorization.

115942320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4164 (or 4152 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 115942320 is about 10767.6515545406. The cubic root of 115942320 is about 487.6190478491.

The spelling of 115942320 in words is "one hundred fifteen million, nine hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4129 4680 5616 7020 8258 9360 12387 14040 16516 20645 24774 28080 33032 37161 41290 49548 53677 61935 66064 74322 82580 99096 107354 111483 123870 148644 161031 165160 185805 198192 214708 222966 247740 268385 297288 322062 330320 371610 429416 445932 483093 495480 536770 557415 594576 644124 743220 805155 858832 891864 966186 990960 1073540 1114830 1288248 1449279 1486440 1610310 1783728 1932372 2147080 2229660 2415465 2576496 2898558 2972880 3220620 3864744 4294160 4459320 4830930 5797116 6441240 7246395 7729488 8918640 9661860 11594232 12882480 14492790 19323720 23188464 28985580 38647440 57971160 115942320