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125455040 = 265616427
BaseRepresentation
bin1110111101001…
…00101011000000
322202001202221222
413132210223000
5224104030130
620240534212
73052231064
oct736445300
9282052858
10125455040
11648a8257
1236021368
131ccb6b69
1412939aa4
15b031ce5
hex77a4ac0

125455040 has 56 divisors (see below), whose sum is σ = 303684432. Its totient is φ = 49351680.

The previous prime is 125455027. The next prime is 125455093. The reversal of 125455040 is 40554521.

It is a super-2 number, since 2×1254550402 = 31477934122803200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 16307 + ... + 22733.

Almost surely, 2125455040 is an apocalyptic number.

125455040 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 125455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151842216).

125455040 is an abundant number, since it is smaller than the sum of its proper divisors (178229392).

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

125455040 is an equidigital number, since it uses as much as digits as its factorization.

125455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6505 (or 6495 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 125455040 is about 11200.6714084469. The cubic root of 125455040 is about 500.6059852670.

The spelling of 125455040 in words is "one hundred twenty-five million, four hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 610 976 1220 1952 2440 3904 4880 6427 9760 12854 19520 25708 32135 51416 64270 102832 128540 205664 257080 392047 411328 514160 784094 1028320 1568188 1960235 2056640 3136376 3920470 6272752 7840940 12545504 15681880 25091008 31363760 62727520 125455040