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125347840 = 211512241
BaseRepresentation
bin1110111100010…
…10100000000000
322201212022220121
413132022200000
5224042112330
620234350024
73051303412
oct736124000
9281768817
10125347840
1164834762
1235b8b314
131cc7a127
141290c9b2
15b01017a
hex778a800

125347840 has 48 divisors (see below), whose sum is σ = 300785940. Its totient is φ = 50135040.

The previous prime is 125347819. The next prime is 125347877. The reversal of 125347840 is 48743521.

It can be written as a sum of positive squares in 2 ways, for example, as 120472576 + 4875264 = 10976^2 + 2208^2 .

It is a junction number, because it is equal to n+sod(n) for n = 125347796 and 125347805.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4120 + ... + 16360.

Almost surely, 2125347840 is an apocalyptic number.

125347840 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 125347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150392970).

125347840 is an abundant number, since it is smaller than the sum of its proper divisors (175438100).

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

125347840 is an equidigital number, since it uses as much as digits as its factorization.

125347840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12268 (or 12248 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 125347840 is about 11195.8849583229. The cubic root of 125347840 is about 500.4633571344.

The spelling of 125347840 in words is "one hundred twenty-five million, three hundred forty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 10240 12241 24482 48964 61205 97928 122410 195856 244820 391712 489640 783424 979280 1566848 1958560 3133696 3917120 6267392 7834240 12534784 15668480 25069568 31336960 62673920 125347840