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12504320 = 2859769
BaseRepresentation
bin101111101100…
…110100000000
3212112021200222
4233230310000
511200114240
61124002212
7211166513
oct57546400
925467628
1012504320
117070754
124230368
13278a70a
141936d7a
15116eeb5
hexbecd00

12504320 has 36 divisors (see below), whose sum is σ = 29954820. Its totient is φ = 5001216.

The previous prime is 12504311. The next prime is 12504353. The reversal of 12504320 is 2340521.

It can be written as a sum of positive squares in 2 ways, for example, as 4393216 + 8111104 = 2096^2 + 2848^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3605 + ... + 6164.

Almost surely, 212504320 is an apocalyptic number.

12504320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12504320 is an abundant number, since it is smaller than the sum of its proper divisors (17450500).

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

12504320 is an frugal number, since it uses more digits than its factorization.

12504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9790 (or 9776 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 12504320 is about 3536.1447934156. The cubic root of 12504320 is about 232.1061741530.

Adding to 12504320 its reverse (2340521), we get a palindrome (14844841).

The spelling of 12504320 in words is "twelve million, five hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 9769 19538 39076 48845 78152 97690 156304 195380 312608 390760 625216 781520 1250432 1563040 2500864 3126080 6252160 12504320