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12924720 = 2432529619
BaseRepresentation
bin110001010011…
…011100110000
3220022122101100
4301103130300
511302042340
61141004400
7214600254
oct61233460
926278340
1012924720
117328596
1243b3700
1328a6b83
141a06264
151204830
hexc53730

12924720 has 120 divisors (see below), whose sum is σ = 44974800. Its totient is φ = 3322368.

The previous prime is 12924719. The next prime is 12924721. The reversal of 12924720 is 2742921.

It is an interprime number because it is at equal distance from previous prime (12924719) and next prime (12924721).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (12924721) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20571 + ... + 21189.

It is an arithmetic number, because the mean of its divisors is an integer number (374790).

Almost surely, 212924720 is an apocalyptic number.

12924720 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 12924720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22487400).

12924720 is an abundant number, since it is smaller than the sum of its proper divisors (32050080).

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

12924720 is a wasteful number, since it uses less digits than its factorization.

12924720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12924720 is about 3595.0966607311. The cubic root of 12924720 is about 234.6787219760.

The spelling of 12924720 in words is "twelve million, nine hundred twenty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 619 696 720 870 1044 1160 1238 1305 1392 1740 1857 2088 2320 2476 2610 3095 3480 3714 4176 4952 5220 5571 6190 6960 7428 9285 9904 10440 11142 12380 14856 17951 18570 20880 22284 24760 27855 29712 35902 37140 44568 49520 53853 55710 71804 74280 89136 89755 107706 111420 143608 148560 161559 179510 215412 222840 269265 287216 323118 359020 430824 445680 538530 646236 718040 807795 861648 1077060 1292472 1436080 1615590 2154120 2584944 3231180 4308240 6462360 12924720