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13152040 = 2351171421
BaseRepresentation
bin110010001010…
…111100101000
3220202012012121
4302022330220
511331331130
61145521024
7216535066
oct62127450
926665177
1013152040
117473360
1244a3174
132956495
141a65036
15124bd7a
hexc8af28

13152040 has 64 divisors (see below), whose sum is σ = 32814720. Its totient is φ = 4704000.

The previous prime is 13152037. The next prime is 13152053. The reversal of 13152040 is 4025131.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 31030 + ... + 31450.

It is an arithmetic number, because the mean of its divisors is an integer number (512730).

Almost surely, 213152040 is an apocalyptic number.

13152040 is a gapful number since it is divisible by the number (10) 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 13152040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16407360).

13152040 is an abundant number, since it is smaller than the sum of its proper divisors (19662680).

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

13152040 is a wasteful number, since it uses less digits than its factorization.

13152040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 13152040 is about 3626.5741409766. The cubic root of 13152040 is about 236.0465770369.

Adding to 13152040 its reverse (4025131), we get a palindrome (17177171).

The spelling of 13152040 in words is "thirteen million, one hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 88 110 142 220 284 355 421 440 568 710 781 842 1420 1562 1684 2105 2840 3124 3368 3905 4210 4631 6248 7810 8420 9262 15620 16840 18524 23155 29891 31240 37048 46310 59782 92620 119564 149455 185240 239128 298910 328801 597820 657602 1195640 1315204 1644005 2630408 3288010 6576020 13152040