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12572640 = 253258731
BaseRepresentation
bin101111111101…
…011111100000
3212122202102100
4233331133200
511204311030
61125250400
7211602633
oct57753740
925582370
1012572640
117108013
124263a00
1327b2842
141953c1a
151185360
hexbfd7e0

12572640 has 72 divisors (see below), whose sum is σ = 42909048. Its totient is φ = 3352320.

The previous prime is 12572633. The next prime is 12572663. The reversal of 12572640 is 4627521.

12572640 is a `hidden beast` number, since 12 + 5 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2926 + ... + 5805.

It is an arithmetic number, because the mean of its divisors is an integer number (595959).

Almost surely, 212572640 is an apocalyptic number.

12572640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12572640 is an abundant number, since it is smaller than the sum of its proper divisors (30336408).

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

12572640 is a wasteful number, since it uses less digits than its factorization.

12572640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8752 (or 8741 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 12572640 is about 3545.7918720647. The cubic root of 12572640 is about 232.5281270169.

The spelling of 12572640 in words is "twelve million, five hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 8731 17462 26193 34924 43655 52386 69848 78579 87310 104772 130965 139696 157158 174620 209544 261930 279392 314316 349240 392895 419088 523860 628632 698480 785790 838176 1047720 1257264 1396960 1571580 2095440 2514528 3143160 4190880 6286320 12572640