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13061952 = 26337559
BaseRepresentation
bin110001110100…
…111101000000
3220120121122000
4301310331000
511320440302
61143544000
7216011331
oct61647500
926517560
1013061952
117411702
12445b000
132924487
141a40288
15123031c
hexc74f40

13061952 has 56 divisors (see below), whose sum is σ = 38404800. Its totient is φ = 4353408.

The previous prime is 13061947. The next prime is 13061957. The reversal of 13061952 is 25916031.

It is an interprime number because it is at equal distance from previous prime (13061947) and next prime (13061957).

It is a super-2 number, since 2×130619522 = 341229180100608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13061957) 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 7 ways as a sum of consecutive naturals, for example, 2052 + ... + 5507.

It is an arithmetic number, because the mean of its divisors is an integer number (685800).

Almost surely, 213061952 is an apocalyptic number.

13061952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13061952 is an abundant number, since it is smaller than the sum of its proper divisors (25342848).

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

13061952 is an equidigital number, since it uses as much as digits as its factorization.

13061952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7580 (or 7564 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 13061952 is about 3614.1322609999. The cubic root of 13061952 is about 235.5063895382.

Adding to 13061952 its reverse (25916031), we get a palindrome (38977983).

The spelling of 13061952 in words is "thirteen million, sixty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 7559 15118 22677 30236 45354 60472 68031 90708 120944 136062 181416 204093 241888 272124 362832 408186 483776 544248 725664 816372 1088496 1451328 1632744 2176992 3265488 4353984 6530976 13061952