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13339320 = 2335891249
BaseRepresentation
bin110010111000…
…101010111000
3221002201002220
4302320222320
511403324240
61153524040
7221245101
oct62705270
927081086
1013339320
117591035
124573620
1329c07b7
141ab33a8
1512875d0
hexcb8ab8

13339320 has 64 divisors (see below), whose sum is σ = 40500000. Its totient is φ = 3514368.

The previous prime is 13339301. The next prime is 13339321. The reversal of 13339320 is 2393331.

13339320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13339321) 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, 10056 + ... + 11304.

Almost surely, 213339320 is an apocalyptic number.

13339320 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 13339320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20250000).

13339320 is an abundant number, since it is smaller than the sum of its proper divisors (27160680).

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

13339320 is a wasteful number, since it uses less digits than its factorization.

13339320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

The square root of 13339320 is about 3652.3033827983. The cubic root of 13339320 is about 237.1617048800.

The spelling of 13339320 in words is "thirteen million, three hundred thirty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1249 1335 1780 2136 2498 2670 3560 3747 4996 5340 6245 7494 9992 10680 12490 14988 18735 24980 29976 37470 49960 74940 111161 149880 222322 333483 444644 555805 666966 889288 1111610 1333932 1667415 2223220 2667864 3334830 4446440 6669660 13339320