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12946590 = 2325971483
BaseRepresentation
bin110001011000…
…110010011110
3220100202101100
4301120302132
511303242330
61141253530
7215021106
oct61306236
926322340
1012946590
117342a68
1244042a6
1328b3b07
141a10206
15120b060
hexc58c9e

12946590 has 48 divisors (see below), whose sum is σ = 34031088. Its totient is φ = 3414528.

The previous prime is 12946519. The next prime is 12946603. The reversal of 12946590 is 9564921.

12946590 is a `hidden beast` number, since 1 + 29 + 46 + 590 = 666.

12946590 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 super-2 number, since 2×129465902 = 335228385256200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7989 + ... + 9471.

It is an arithmetic number, because the mean of its divisors is an integer number (708981).

Almost surely, 212946590 is an apocalyptic number.

12946590 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 12946590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17015544).

12946590 is an abundant number, since it is smaller than the sum of its proper divisors (21084498).

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

12946590 is a wasteful number, since it uses less digits than its factorization.

12946590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 12946590 is about 3598.1370179580. The cubic root of 12946590 is about 234.8110145001.

The spelling of 12946590 in words is "twelve million, nine hundred forty-six thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1455 1483 1746 2910 2966 4365 4449 7415 8730 8898 13347 14830 22245 26694 44490 66735 133470 143851 287702 431553 719255 863106 1294659 1438510 2157765 2589318 4315530 6473295 12946590