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13320440 = 2357113421
BaseRepresentation
bin110010110100…
…000011111000
3221001202012122
4302310003320
511402223230
61153300412
7221136050
oct62640370
927052178
1013320440
117578931
124564708
1329b5023
141aaa560
151281be5
hexcb40f8

13320440 has 64 divisors (see below), whose sum is σ = 34637760. Its totient is φ = 4515840.

The previous prime is 13320431. The next prime is 13320443. The reversal of 13320440 is 4402331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320443) 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 15 ways as a sum of consecutive naturals, for example, 31430 + ... + 31850.

It is an arithmetic number, because the mean of its divisors is an integer number (541215).

Almost surely, 213320440 is an apocalyptic number.

13320440 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 13320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17318880).

13320440 is an abundant number, since it is smaller than the sum of its proper divisors (21317320).

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

13320440 is a wasteful number, since it uses less digits than its factorization.

13320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 13320440 is about 3649.7177973098. The cubic root of 13320440 is about 237.0497619640.

Adding to 13320440 its reverse (4402331), we get a palindrome (17722771).

The spelling of 13320440 in words is "thirteen million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 226 280 421 452 565 791 842 904 1130 1582 1684 2105 2260 2947 3164 3368 3955 4210 4520 5894 6328 7910 8420 11788 14735 15820 16840 23576 29470 31640 47573 58940 95146 117880 190292 237865 333011 380584 475730 666022 951460 1332044 1665055 1902920 2664088 3330110 6660220 13320440