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13451264 = 214821
BaseRepresentation
bin110011010100…
…000000000000
3221022101122222
4303110000000
511420420024
61200150212
7222222341
oct63240000
927271588
1013451264
117658152
124608368
132a2c738
141b020c8
1512aa85e
hexcd4000

13451264 has 30 divisors (see below), whose sum is σ = 26934474. Its totient is φ = 6717440.

The previous prime is 13451257. The next prime is 13451279. The reversal of 13451264 is 46215431.

It can be written as a sum of positive squares in only one way, i.e., 10240000 + 3211264 = 3200^2 + 1792^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15974 + ... + 16794.

Almost surely, 213451264 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 13451264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13467237).

13451264 is an abundant number, since it is smaller than the sum of its proper divisors (13483210).

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

13451264 is an frugal number, since it uses more digits than its factorization.

13451264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 823 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 13451264 is about 3667.5964881650. The cubic root of 13451264 is about 237.8232805326.

Adding to 13451264 its reverse (46215431), we get a palindrome (59666695).

The spelling of 13451264 in words is "thirteen million, four hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 821 1024 1642 2048 3284 4096 6568 8192 13136 16384 26272 52544 105088 210176 420352 840704 1681408 3362816 6725632 13451264