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12910320 = 2433543139
BaseRepresentation
bin110001001111…
…111011110000
3220021220122000
4301033323300
511301112240
61140414000
7214510263
oct61177360
926256560
1012910320
117318795
1243a7300
1328a0457
141a00cda
151200430
hexc4fef0

12910320 has 160 divisors (see below), whose sum is σ = 45830400. Its totient is φ = 3338496.

The previous prime is 12910301. The next prime is 12910351. The reversal of 12910320 is 2301921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12910293 and 12910302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92811 + ... + 92949.

It is an arithmetic number, because the mean of its divisors is an integer number (286440).

Almost surely, 212910320 is an apocalyptic number.

12910320 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 12910320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22915200).

12910320 is an abundant number, since it is smaller than the sum of its proper divisors (32920080).

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

12910320 is a wasteful number, since it uses less digits than its factorization.

12910320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 12910320 is about 3593.0933747956. The cubic root of 12910320 is about 234.5915342868.

The spelling of 12910320 in words is "twelve million, nine hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 43 45 48 54 60 72 80 86 90 108 120 129 135 139 144 172 180 215 216 240 258 270 278 344 360 387 417 430 432 516 540 556 645 688 695 720 774 834 860 1032 1080 1112 1161 1251 1290 1390 1548 1668 1720 1935 2064 2085 2160 2224 2322 2502 2580 2780 3096 3336 3440 3753 3870 4170 4644 5004 5160 5560 5805 5977 6192 6255 6672 7506 7740 8340 9288 10008 10320 11120 11610 11954 12510 15012 15480 16680 17931 18576 18765 20016 23220 23908 25020 29885 30024 30960 33360 35862 37530 46440 47816 50040 53793 59770 60048 71724 75060 89655 92880 95632 100080 107586 119540 143448 150120 161379 179310 215172 239080 268965 286896 300240 322758 358620 430344 478160 537930 645516 717240 806895 860688 1075860 1291032 1434480 1613790 2151720 2582064 3227580 4303440 6455160 12910320