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13502144 = 261131867
BaseRepresentation
bin110011100000…
…011011000000
3221101222110102
4303200123000
511424032034
61201221532
7222523565
oct63403300
927358412
1013502144
1176923a7
1246318a8
132a49946
141b1686c
1512ba97e
hexce06c0

13502144 has 28 divisors (see below), whose sum is σ = 27044904. Its totient is φ = 6687744.

The previous prime is 13502123. The next prime is 13502147. The reversal of 13502144 is 44120531.

It is not an unprimeable number, because it can be changed into a prime (13502147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6299 + ... + 8165.

Almost surely, 213502144 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 13502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13522452).

13502144 is an abundant number, since it is smaller than the sum of its proper divisors (13542760).

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

13502144 is a wasteful number, since it uses less digits than its factorization.

13502144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 13502144 is about 3674.5263640366. The cubic root of 13502144 is about 238.1227622682.

Adding to 13502144 its reverse (44120531), we get a palindrome (57622675).

The spelling of 13502144 in words is "thirteen million, five hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 1808 1867 3616 3734 7232 7468 14936 29872 59744 119488 210971 421942 843884 1687768 3375536 6751072 13502144