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13309952 = 2116797
BaseRepresentation
bin110010110001…
…100000000000
3221001012211012
4302301200000
511401404302
61153140052
7221063345
oct62614000
927035735
1013309952
117570a67
12455a628
1329b0316
141aa67cc
15127da52
hexcb1800

13309952 has 48 divisors (see below), whose sum is σ = 27289080. Its totient is φ = 6488064.

The previous prime is 13309951. The next prime is 13309957. The reversal of 13309952 is 25990331.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13309951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137168 + ... + 137264.

Almost surely, 213309952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13309952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13644540).

13309952 is an abundant number, since it is smaller than the sum of its proper divisors (13979128).

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

13309952 is an frugal number, since it uses more digits than its factorization.

13309952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 32.

The square root of 13309952 is about 3648.2806909557. The cubic root of 13309952 is about 236.9875310192.

The spelling of 13309952 in words is "thirteen million, three hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 67 97 128 134 194 256 268 388 512 536 776 1024 1072 1552 2048 2144 3104 4288 6208 6499 8576 12416 12998 17152 24832 25996 34304 49664 51992 68608 99328 103984 137216 198656 207968 415936 831872 1663744 3327488 6654976 13309952