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40125960 = 23325715923
BaseRepresentation
bin1001100100010…
…0011000001000
32210111121110200
42121010120020
540233012320
63552012200
7665031210
oct231043010
983447420
1040125960
1120717256
1211531060
13840bc94
145487240
1537c9290
hex2644608

40125960 has 96 divisors (see below), whose sum is σ = 149048640. Its totient is φ = 9171072.

The previous prime is 40125947. The next prime is 40125977. The reversal of 40125960 is 6952104.

40125960 is a `hidden beast` number, since 401 + 259 + 6 + 0 = 666.

It is a super-2 number, since 2×401259602 = 3220185331843200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5442 + ... + 10481.

It is an arithmetic number, because the mean of its divisors is an integer number (1552590).

Almost surely, 240125960 is an apocalyptic number.

40125960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40125960 is an abundant number, since it is smaller than the sum of its proper divisors (108922680).

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

40125960 is a wasteful number, since it uses less digits than its factorization.

40125960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15947 (or 15940 counting only the distinct ones).

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

The square root of 40125960 is about 6334.5055055624. The cubic root of 40125960 is about 342.3537941332.

The spelling of 40125960 in words is "forty million, one hundred twenty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 15923 31846 47769 63692 79615 95538 111461 127384 143307 159230 191076 222922 238845 286614 318460 334383 382152 445844 477690 557305 573228 636920 668766 716535 891688 955380 1003149 1114610 1146456 1337532 1433070 1671915 1910760 2006298 2229220 2675064 2866140 3343830 4012596 4458440 5015745 5732280 6687660 8025192 10031490 13375320 20062980 40125960