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13479136 = 2511149257
BaseRepresentation
bin110011011010…
…110011100000
3221100210220021
4303122303200
511422313021
61200523224
7222366526
oct63326340
927323807
1013479136
117677090
124620514
132a3c328
141b0c316
1512b3c41
hexcdace0

13479136 has 48 divisors (see below), whose sum is σ = 29257200. Its totient is φ = 6062080.

The previous prime is 13479133. The next prime is 13479143. The reversal of 13479136 is 63197431.

13479136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13479133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52320 + ... + 52576.

It is an arithmetic number, because the mean of its divisors is an integer number (609525).

Almost surely, 213479136 is an apocalyptic number.

13479136 is a gapful number since it is divisible by the number (16) 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 13479136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14628600).

13479136 is an abundant number, since it is smaller than the sum of its proper divisors (15778064).

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

13479136 is a wasteful number, since it uses less digits than its factorization.

13479136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its digits is 13608, while the sum is 34.

The square root of 13479136 is about 3671.3942855542. The cubic root of 13479136 is about 237.9874296023.

The spelling of 13479136 in words is "thirteen million, four hundred seventy-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 149 176 257 298 352 514 596 1028 1192 1639 2056 2384 2827 3278 4112 4768 5654 6556 8224 11308 13112 22616 26224 38293 45232 52448 76586 90464 153172 306344 421223 612688 842446 1225376 1684892 3369784 6739568 13479136