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125053020 = 223251740867
BaseRepresentation
bin1110111010000…
…10100001011100
322201022100111100
413131002201130
5224003144040
620224153100
73045635031
oct735024134
9281270440
10125053020
1164653204
1235a68790
131cba5b91
1412873388
15aea2b30
hex774285c

125053020 has 72 divisors (see below), whose sum is σ = 401650704. Its totient is φ = 31385088.

The previous prime is 125052953. The next prime is 125053031. The reversal of 125053020 is 20350521.

It is a happy number.

It is a super-2 number, since 2×1250530202 = 31276515622240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 125052984 and 125053002.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17374 + ... + 23493.

It is an arithmetic number, because the mean of its divisors is an integer number (5578482).

Almost surely, 2125053020 is an apocalyptic number.

125053020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125053020 is an abundant number, since it is smaller than the sum of its proper divisors (276597684).

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

125053020 is a wasteful number, since it uses less digits than its factorization.

125053020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40899 (or 40894 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 125053020 is about 11182.7107626013. The cubic root of 125053020 is about 500.0706833406.

The spelling of 125053020 in words is "one hundred twenty-five million, fifty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 40867 81734 122601 163468 204335 245202 367803 408670 490404 613005 694739 735606 817340 1226010 1389478 1471212 1839015 2084217 2452020 2778956 3473695 3678030 4168434 6252651 6947390 7356060 8336868 10421085 12505302 13894780 20842170 25010604 31263255 41684340 62526510 125053020