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12958470 = 2325767307
BaseRepresentation
bin110001011011…
…101100000110
3220101100200100
4301123230012
511304132340
61141424530
7215100540
oct61335406
926340610
1012958470
117350988
12440b146
1328b9345
141a14690
15120e830
hexc5bb06

12958470 has 96 divisors (see below), whose sum is σ = 39207168. Its totient is φ = 2908224.

The previous prime is 12958469. The next prime is 12958481. The reversal of 12958470 is 7485921.

12958470 is a `hidden beast` number, since 1 + 2 + 9 + 584 + 70 = 666.

12958470 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42057 + ... + 42363.

It is an arithmetic number, because the mean of its divisors is an integer number (408408).

Almost surely, 212958470 is an apocalyptic number.

12958470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12958470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19603584).

12958470 is an abundant number, since it is smaller than the sum of its proper divisors (26248698).

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

12958470 is a wasteful number, since it uses less digits than its factorization.

12958470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 12958470 is about 3599.7874937279. The cubic root of 12958470 is about 234.8828146689.

The spelling of 12958470 in words is "twelve million, nine hundred fifty-eight thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 67 70 90 105 126 134 201 210 307 315 335 402 469 603 614 630 670 921 938 1005 1206 1407 1535 1842 2010 2149 2345 2763 2814 3015 3070 4221 4298 4605 4690 5526 6030 6447 7035 8442 9210 10745 12894 13815 14070 19341 20569 21105 21490 27630 32235 38682 41138 42210 61707 64470 96705 102845 123414 143983 185121 193410 205690 287966 308535 370242 431949 617070 719915 863898 925605 1295847 1439830 1851210 2159745 2591694 4319490 6479235 12958470