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13290256 = 2471071109
BaseRepresentation
bin110010101100…
…101100010000
3221000012210201
4302230230100
511400242011
61152504544
7220652050
oct62545420
927005721
1013290256
117558191
12454b154
1329a4375
141a9d560
151277cc1
hexcacb10

13290256 has 40 divisors (see below), whose sum is σ = 29730240. Its totient is φ = 5637504.

The previous prime is 13290239. The next prime is 13290283. The reversal of 13290256 is 65209231.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11430 + ... + 12538.

It is an arithmetic number, because the mean of its divisors is an integer number (743256).

Almost surely, 213290256 is an apocalyptic number.

13290256 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 13290256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14865120).

13290256 is an abundant number, since it is smaller than the sum of its proper divisors (16439984).

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

13290256 is a wasteful number, since it uses less digits than its factorization.

13290256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 13290256 is about 3645.5803378886. The cubic root of 13290256 is about 236.8705756583.

Adding to 13290256 its reverse (65209231), we get a palindrome (78499487).

The spelling of 13290256 in words is "thirteen million, two hundred ninety thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 107 112 214 428 749 856 1109 1498 1712 2218 2996 4436 5992 7763 8872 11984 15526 17744 31052 62104 118663 124208 237326 474652 830641 949304 1661282 1898608 3322564 6645128 13290256