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125441040 = 24351927509
BaseRepresentation
bin1110111101000…
…01010000010000
322202001001202110
413132201100100
5224103103130
620240345320
73052142214
oct736412020
9282031673
10125441040
116489878a
1236015240
131ccb068a
1412934944
15b02cab0
hex77a1410

125441040 has 80 divisors (see below), whose sum is σ = 409348800. Its totient is φ = 31689216.

The previous prime is 125441039. The next prime is 125441047. The reversal of 125441040 is 40144521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 125440998 and 125441016.

It is not an unprimeable number, because it can be changed into a prime (125441047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9195 + ... + 18314.

It is an arithmetic number, because the mean of its divisors is an integer number (5116860).

Almost surely, 2125441040 is an apocalyptic number.

125441040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125441040 is an abundant number, since it is smaller than the sum of its proper divisors (283907760).

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

125441040 is a wasteful number, since it uses less digits than its factorization.

125441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27544 (or 27538 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 125441040 is about 11200.0464284752. The cubic root of 125441040 is about 500.5873630724.

Adding to 125441040 its reverse (40144521), we get a palindrome (165585561).

The spelling of 125441040 in words is "one hundred twenty-five million, four hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 27509 55018 82527 110036 137545 165054 220072 275090 330108 412635 440144 522671 550180 660216 825270 1045342 1100360 1320432 1568013 1650540 2090684 2200720 2613355 3136026 3301080 4181368 5226710 6272052 6602160 7840065 8362736 10453420 12544104 15680130 20906840 25088208 31360260 41813680 62720520 125441040