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125339040 = 2532587041
BaseRepresentation
bin1110111100010…
…00010110100000
322201211212211200
413132020112200
5224041322130
620234241200
73051235641
oct736102640
9281755750
10125339040
1164829092
1235b86200
131cc76118
14129096c8
15b00c760
hex77885a0

125339040 has 72 divisors (see below), whose sum is σ = 427724388. Its totient is φ = 33423360.

The previous prime is 125339003. The next prime is 125339041. The reversal of 125339040 is 40933521.

125339040 is a `hidden beast` number, since 1 + 2 + 533 + 90 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113806224 + 11532816 = 10668^2 + 3396^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 125338995 and 125339013.

It is not an unprimeable number, because it can be changed into a prime (125339041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42081 + ... + 44960.

Almost surely, 2125339040 is an apocalyptic number.

125339040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125339040 is an abundant number, since it is smaller than the sum of its proper divisors (302385348).

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

125339040 is a wasteful number, since it uses less digits than its factorization.

125339040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87062 (or 87051 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 125339040 is about 11195.4919498877. The cubic root of 125339040 is about 500.4516452436.

The spelling of 125339040 in words is "one hundred twenty-five million, three hundred thirty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 87041 174082 261123 348164 435205 522246 696328 783369 870410 1044492 1305615 1392656 1566738 1740820 2088984 2611230 2785312 3133476 3481640 3916845 4177968 5222460 6266952 6963280 7833690 8355936 10444920 12533904 13926560 15667380 20889840 25067808 31334760 41779680 62669520 125339040