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13520096 = 251937601
BaseRepresentation
bin110011100100…
…110011100000
3221102220002022
4303210303200
511430120341
61201441012
7222630122
oct63446340
927386068
1013520096
1176a4937
124640168
132a54b75
141b1d212
1512c0e4b
hexce4ce0

13520096 has 48 divisors (see below), whose sum is σ = 28823760. Its totient is φ = 6220800.

The previous prime is 13520081. The next prime is 13520099. The reversal of 13520096 is 69002531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13520099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22196 + ... + 22796.

It is an arithmetic number, because the mean of its divisors is an integer number (600495).

Almost surely, 213520096 is an apocalyptic number.

13520096 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 13520096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14411880).

13520096 is an abundant number, since it is smaller than the sum of its proper divisors (15303664).

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

13520096 is a wasteful number, since it uses less digits than its factorization.

13520096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 13520096 is about 3676.9683164259. The cubic root of 13520096 is about 238.2282488905.

The spelling of 13520096 in words is "thirteen million, five hundred twenty thousand, ninety-six".

Divisors: 1 2 4 8 16 19 32 37 38 74 76 148 152 296 304 592 601 608 703 1184 1202 1406 2404 2812 4808 5624 9616 11248 11419 19232 22237 22496 22838 44474 45676 88948 91352 177896 182704 355792 365408 422503 711584 845006 1690012 3380024 6760048 13520096