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12926320 = 2451137397
BaseRepresentation
bin110001010011…
…110101110000
3220022201120121
4301103311300
511302120240
61141020024
7214605031
oct61236560
926281517
1012926320
117329810
1243b4614
1328a7814
141a06a88
15120504a
hexc53d70

12926320 has 80 divisors (see below), whose sum is σ = 33756768. Its totient is φ = 4561920.

The previous prime is 12926293. The next prime is 12926321. The reversal of 12926320 is 2362921.

It is a happy number.

12926320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12926321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32362 + ... + 32758.

Almost surely, 212926320 is an apocalyptic number.

12926320 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 12926320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16878384).

12926320 is an abundant number, since it is smaller than the sum of its proper divisors (20830448).

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

12926320 is a wasteful number, since it uses less digits than its factorization.

12926320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 12926320 is about 3595.3191791550. The cubic root of 12926320 is about 234.6884054987.

The spelling of 12926320 in words is "twelve million, nine hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 74 80 88 110 148 176 185 220 296 370 397 407 440 592 740 794 814 880 1480 1588 1628 1985 2035 2960 3176 3256 3970 4070 4367 6352 6512 7940 8140 8734 14689 15880 16280 17468 21835 29378 31760 32560 34936 43670 58756 69872 73445 87340 117512 146890 161579 174680 235024 293780 323158 349360 587560 646316 807895 1175120 1292632 1615790 2585264 3231580 6463160 12926320