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125043940 = 225719291621
BaseRepresentation
bin1110111010000…
…00010011100100
322201021220001001
413131000103210
5224002401230
620224043044
73045566410
oct735002344
9281256031
10125043940
11646473aa
1235a63484
131cba19c8
141286dd40
15aea00ca
hex77404e4

125043940 has 96 divisors (see below), whose sum is σ = 326995200. Its totient is φ = 39191040.

The previous prime is 125043917. The next prime is 125043943. The reversal of 125043940 is 49340521.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 125043899 and 125043908.

It is not an unprimeable number, because it can be changed into a prime (125043943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76330 + ... + 77950.

It is an arithmetic number, because the mean of its divisors is an integer number (3406200).

Almost surely, 2125043940 is an apocalyptic number.

125043940 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 125043940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163497600).

125043940 is an abundant number, since it is smaller than the sum of its proper divisors (201951260).

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

125043940 is a wasteful number, since it uses less digits than its factorization.

125043940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 125043940 is about 11182.3047713788. The cubic root of 125043940 is about 500.0585798032.

The spelling of 125043940 in words is "one hundred twenty-five million, forty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 29 35 38 58 70 76 95 116 133 140 145 190 203 266 290 380 406 532 551 580 665 812 1015 1102 1330 1621 2030 2204 2660 2755 3242 3857 4060 5510 6484 7714 8105 11020 11347 15428 16210 19285 22694 30799 32420 38570 45388 47009 56735 61598 77140 94018 113470 123196 153995 188036 215593 226940 235045 307990 329063 431186 470090 615980 658126 862372 893171 940180 1077965 1316252 1645315 1786342 2155930 3290630 3572684 4311860 4465855 6252197 6581260 8931710 12504394 17863420 25008788 31260985 62521970 125043940