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13642912 = 251921181
BaseRepresentation
bin110100000010…
…110010100000
3221200010120001
4310002302200
511443033122
61204225344
7223651153
oct64026240
927603501
1013642912
117779138
12469b254
132a98a3a
141b51c9a
1512e7527
hexd02ca0

13642912 has 36 divisors (see below), whose sum is σ = 28371546. Its totient is φ = 6456960.

The previous prime is 13642907. The next prime is 13642919. The reversal of 13642912 is 21924631.

It can be written as a sum of positive squares in only one way, i.e., 8785296 + 4857616 = 2964^2 + 2204^2 .

It is a super-2 number, since 2×136429122 = 372258095679488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13642919) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10962 + ... + 12142.

Almost surely, 213642912 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 13642912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14185773).

13642912 is an abundant number, since it is smaller than the sum of its proper divisors (14728634).

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

13642912 is a wasteful number, since it uses less digits than its factorization.

13642912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1202 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 13642912 is about 3693.6312755878. The cubic root of 13642912 is about 238.9474274987.

The spelling of 13642912 in words is "thirteen million, six hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 608 722 1181 1444 2362 2888 4724 5776 9448 11552 18896 22439 37792 44878 89756 179512 359024 426341 718048 852682 1705364 3410728 6821456 13642912