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13816272 = 243733943
BaseRepresentation
bin110100101101…
…000111010000
3221222221100210
4310231013100
512014110042
61212044120
7225302451
oct64550720
927887323
1013816272
117887408
124763640
132b29912
141b99128
15132da9c
hexd2d1d0

13816272 has 40 divisors (see below), whose sum is σ = 36190144. Its totient is φ = 4541184.

The previous prime is 13816259. The next prime is 13816277. The reversal of 13816272 is 27261831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13816277) 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, 1533 + ... + 5475.

Almost surely, 213816272 is an apocalyptic number.

13816272 is a gapful number since it is divisible by the number (12) 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 13816272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18095072).

13816272 is an abundant number, since it is smaller than the sum of its proper divisors (22373872).

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

13816272 is a wasteful number, since it uses less digits than its factorization.

13816272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4027 (or 4021 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 13816272 is about 3717.0246165448. The cubic root of 13816272 is about 239.9552694415.

The spelling of 13816272 in words is "thirteen million, eight hundred sixteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 3504 3943 7886 11829 15772 23658 31544 47316 63088 94632 189264 287839 575678 863517 1151356 1727034 2302712 3454068 4605424 6908136 13816272