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13340920 = 2351723853
BaseRepresentation
bin110010111001…
…000011111000
3221002210022011
4302321003320
511403402140
61153535304
7221252545
oct62710370
927083264
1013340920
11759225a
124574534
1329c1448
141ab3bcc
151287cea
hexcb90f8

13340920 has 64 divisors (see below), whose sum is σ = 33203520. Its totient is φ = 4798464.

The previous prime is 13340917. The next prime is 13340927. The reversal of 13340920 is 2904331.

13340920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13340891 and 13340900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13340927) 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, 15214 + ... + 16066.

It is an arithmetic number, because the mean of its divisors is an integer number (518805).

Almost surely, 213340920 is an apocalyptic number.

13340920 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 13340920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601760).

13340920 is an abundant number, since it is smaller than the sum of its proper divisors (19862600).

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

13340920 is a wasteful number, since it uses less digits than its factorization.

13340920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 13340920 is about 3652.5224160845. The cubic root of 13340920 is about 237.1711867116.

The spelling of 13340920 in words is "thirteen million, three hundred forty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 340 391 460 680 782 853 920 1564 1706 1955 3128 3412 3910 4265 6824 7820 8530 14501 15640 17060 19619 29002 34120 39238 58004 72505 78476 98095 116008 145010 156952 196190 290020 333523 392380 580040 667046 784760 1334092 1667615 2668184 3335230 6670460 13340920