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13206840 = 2335157701
BaseRepresentation
bin110010011000…
…010100111000
3220211222101020
4302120110320
511340104330
61151022440
7220153623
oct62302470
926758336
1013206840
117500549
12450aa20
1329753ca
141a7adba
15125d210
hexc98538

13206840 has 64 divisors (see below), whose sum is σ = 39929760. Its totient is φ = 3494400.

The previous prime is 13206821. The next prime is 13206847. The reversal of 13206840 is 4860231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13206840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13206847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18490 + ... + 19190.

Almost surely, 213206840 is an apocalyptic number.

13206840 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 13206840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19964880).

13206840 is an abundant number, since it is smaller than the sum of its proper divisors (26722920).

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

13206840 is a wasteful number, since it uses less digits than its factorization.

13206840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13206840 is about 3634.1216270235. The cubic root of 13206840 is about 236.3739642251.

The spelling of 13206840 in words is "thirteen million, two hundred six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 701 785 942 1256 1402 1570 1884 2103 2355 2804 3140 3505 3768 4206 4710 5608 6280 7010 8412 9420 10515 14020 16824 18840 21030 28040 42060 84120 110057 220114 330171 440228 550285 660342 880456 1100570 1320684 1650855 2201140 2641368 3301710 4402280 6603420 13206840