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13730256 = 243337859
BaseRepresentation
bin110100011000…
…000111010000
3221211120101000
4310120013100
512003332011
61210142000
7224463621
oct64300720
927746330
1013730256
117828821
124721900
132ac9717
141b75a48
151313356
hexd181d0

13730256 has 80 divisors (see below), whose sum is σ = 40523200. Its totient is φ = 4447872.

The previous prime is 13730231. The next prime is 13730261. The reversal of 13730256 is 65203731.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15555 + ... + 16413.

It is an arithmetic number, because the mean of its divisors is an integer number (506540).

Almost surely, 213730256 is an apocalyptic number.

13730256 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 13730256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20261600).

13730256 is an abundant number, since it is smaller than the sum of its proper divisors (26792944).

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

13730256 is a wasteful number, since it uses less digits than its factorization.

13730256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 13730256 is about 3705.4360067339. The cubic root of 13730256 is about 239.4562690831.

Adding to 13730256 its reverse (65203731), we get a palindrome (78933987).

The spelling of 13730256 in words is "thirteen million, seven hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 592 666 859 888 999 1332 1718 1776 1998 2577 2664 3436 3996 5154 5328 6872 7731 7992 10308 13744 15462 15984 20616 23193 30924 31783 41232 46386 61848 63566 92772 95349 123696 127132 185544 190698 254264 286047 371088 381396 508528 572094 762792 858141 1144188 1525584 1716282 2288376 3432564 4576752 6865128 13730256