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125694080 = 275238539
BaseRepresentation
bin1110111110111…
…11000010000000
322202111220212022
413133133002000
5224134202310
620250021012
73054245021
oct737370200
9282456768
10125694080
1164a50906
1236117768
132006b8c5
141299cc48
15b07ca55
hex77df080

125694080 has 64 divisors (see below), whose sum is σ = 313588800. Its totient is φ = 48086016.

The previous prime is 125694047. The next prime is 125694083. The reversal of 125694080 is 80496521.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 125694080.

It is not an unprimeable number, because it can be changed into a prime (125694083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10451 + ... + 18989.

It is an arithmetic number, because the mean of its divisors is an integer number (4899825).

Almost surely, 2125694080 is an apocalyptic number.

125694080 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 125694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156794400).

125694080 is an abundant number, since it is smaller than the sum of its proper divisors (187894720).

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

125694080 is an equidigital number, since it uses as much as digits as its factorization.

125694080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8581 (or 8569 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 125694080 is about 11211.3371191843. The cubic root of 125694080 is about 500.9237323860.

The spelling of 125694080 in words is "one hundred twenty-five million, six hundred ninety-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 7360 8539 14720 17078 34156 42695 68312 85390 136624 170780 196397 273248 341560 392794 546496 683120 785588 981985 1092992 1366240 1571176 1963970 2732480 3142352 3927940 5464960 6284704 7855880 12569408 15711760 25138816 31423520 62847040 125694080