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125053104 = 24311298167
BaseRepresentation
bin1110111010000…
…10100010110000
322201022100121110
413131002202300
5224003144404
620224153320
73045635211
oct735024260
9281270543
10125053104
1164653280
1235a68840
131cba5c27
1412873408
15aea2b89
hex77428b0

125053104 has 80 divisors (see below), whose sum is σ = 364619520. Its totient is φ = 36583680.

The previous prime is 125053091. The next prime is 125053121. The reversal of 125053104 is 401350521.

It is a super-3 number, since 3×1250531043 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11229 + ... + 19395.

It is an arithmetic number, because the mean of its divisors is an integer number (4557744).

Almost surely, 2125053104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125053104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182309760).

125053104 is an abundant number, since it is smaller than the sum of its proper divisors (239566416).

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

125053104 is a wasteful number, since it uses less digits than its factorization.

125053104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8218 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 125053104 is about 11182.7145183985. The cubic root of 125053104 is about 500.0707953089.

The spelling of 125053104 in words is "one hundred twenty-five million, fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 696 957 1276 1392 1914 2552 3828 5104 7656 8167 15312 16334 24501 32668 49002 65336 89837 98004 130672 179674 196008 236843 269511 359348 392016 473686 539022 710529 718696 947372 1078044 1421058 1437392 1894744 2156088 2605273 2842116 3789488 4312176 5210546 5684232 7815819 10421092 11368464 15631638 20842184 31263276 41684368 62526552 125053104