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13213140 = 2235349631
BaseRepresentation
bin110010011001…
…110111010100
3220212022000120
4302121313110
511340310030
61151111540
7220211163
oct62316724
926768016
1013213140
117505256
1245125b0
132978235
141a7d3da
151260010
hexc99dd4

13213140 has 48 divisors (see below), whose sum is σ = 37161600. Its totient is φ = 3507840.

The previous prime is 13213139. The next prime is 13213153. The reversal of 13213140 is 4131231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20625 + ... + 21255.

It is an arithmetic number, because the mean of its divisors is an integer number (774200).

Almost surely, 213213140 is an apocalyptic number.

13213140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13213140 is an abundant number, since it is smaller than the sum of its proper divisors (23948460).

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

13213140 is a wasteful number, since it uses less digits than its factorization.

13213140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13213140 is about 3634.9883080967. The cubic root of 13213140 is about 236.4115437230.

Adding to 13213140 its reverse (4131231), we get a palindrome (17344371).

The spelling of 13213140 in words is "thirteen million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 349 631 698 1047 1262 1396 1745 1893 2094 2524 3155 3490 3786 4188 5235 6310 6980 7572 9465 10470 12620 18930 20940 37860 220219 440438 660657 880876 1101095 1321314 2202190 2642628 3303285 4404380 6606570 13213140