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12570540 = 2235535967
BaseRepresentation
bin101111111100…
…111110101100
3212122122112120
4233330332230
511204224130
61125232540
7211563543
oct57747654
925578476
1012570540
117106484
124262750
1327b18b8
14195315a
151184910
hexbfcfac

12570540 has 96 divisors (see below), whose sum is σ = 37013760. Its totient is φ = 3184896.

The previous prime is 12570539. The next prime is 12570541. The reversal of 12570540 is 4507521.

It is an interprime number because it is at equal distance from previous prime (12570539) and next prime (12570541).

It is a self number, because there is not a number n which added to its sum of digits gives 12570540.

It is not an unprimeable number, because it can be changed into a prime (12570541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187587 + ... + 187653.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 212570540 is an apocalyptic number.

12570540 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 12570540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506880).

12570540 is an abundant number, since it is smaller than the sum of its proper divisors (24443220).

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

12570540 is a wasteful number, since it uses less digits than its factorization.

12570540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 12570540 is about 3545.4957340265. The cubic root of 12570540 is about 232.5151799547.

The spelling of 12570540 in words is "twelve million, five hundred seventy thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 59 60 67 106 118 134 159 177 201 212 236 265 268 295 318 335 354 402 530 590 636 670 708 795 804 885 1005 1060 1180 1340 1590 1770 2010 3127 3180 3540 3551 3953 4020 6254 7102 7906 9381 10653 11859 12508 14204 15635 15812 17755 18762 19765 21306 23718 31270 35510 37524 39530 42612 46905 47436 53265 59295 62540 71020 79060 93810 106530 118590 187620 209509 213060 237180 419018 628527 838036 1047545 1257054 2095090 2514108 3142635 4190180 6285270 12570540