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13371264 = 27335373
BaseRepresentation
bin110011000000…
…011110000000
3221011022221000
4303000132000
511410340024
61154332000
7221440164
oct63003600
927138830
1013371264
117603035
12458a000
132a021ba
141ac0ca4
151291cc9
hexcc0780

13371264 has 128 divisors (see below), whose sum is σ = 40759200. Its totient is φ = 4313088.

The previous prime is 13371263. The next prime is 13371283. The reversal of 13371264 is 46217331.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13371263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183132 + ... + 183204.

Almost surely, 213371264 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 13371264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20379600).

13371264 is an abundant number, since it is smaller than the sum of its proper divisors (27387936).

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

13371264 is an equidigital number, since it uses as much as digits as its factorization.

13371264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 13371264 is about 3656.6738985039. The cubic root of 13371264 is about 237.3508663000.

Adding to 13371264 its reverse (46217331), we get a palindrome (59588595).

It can be divided in two parts, 1337 and 1264, that added together give a square (2601 = 512).

The spelling of 13371264 in words is "thirteen million, three hundred seventy-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 73 96 106 108 128 144 146 159 192 212 216 219 288 292 318 384 424 432 438 477 576 584 636 657 848 864 876 954 1152 1168 1272 1314 1431 1696 1728 1752 1908 1971 2336 2544 2628 2862 3392 3456 3504 3816 3869 3942 4672 5088 5256 5724 6784 7008 7632 7738 7884 9344 10176 10512 11448 11607 14016 15264 15476 15768 20352 21024 22896 23214 28032 30528 30952 31536 34821 42048 45792 46428 61056 61904 63072 69642 84096 91584 92856 104463 123808 126144 139284 183168 185712 208926 247616 252288 278568 371424 417852 495232 557136 742848 835704 1114272 1485696 1671408 2228544 3342816 4457088 6685632 13371264