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13348020 = 2235761521
BaseRepresentation
bin110010111010…
…110010110100
3221010011001010
4302322302310
511404114040
61154032220
7221312340
oct62726264
927104033
1013348020
117597624
124578670
1329c474a
141ab6620
151289e80
hexcbacb4

13348020 has 96 divisors (see below), whose sum is σ = 43497216. Its totient is φ = 2995200.

The previous prime is 13348019. The next prime is 13348057. The reversal of 13348020 is 2084331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 25360 + ... + 25880.

It is an arithmetic number, because the mean of its divisors is an integer number (453096).

Almost surely, 213348020 is an apocalyptic number.

13348020 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 13348020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21748608).

13348020 is an abundant number, since it is smaller than the sum of its proper divisors (30149196).

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

13348020 is a wasteful number, since it uses less digits than its factorization.

13348020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 13348020 is about 3653.4942178687. The cubic root of 13348020 is about 237.2132531955.

The spelling of 13348020 in words is "thirteen million, three hundred forty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 61 70 84 105 122 140 183 210 244 305 366 420 427 521 610 732 854 915 1042 1220 1281 1563 1708 1830 2084 2135 2562 2605 3126 3647 3660 4270 5124 5210 6252 6405 7294 7815 8540 10420 10941 12810 14588 15630 18235 21882 25620 31260 31781 36470 43764 54705 63562 72940 95343 109410 127124 158905 190686 218820 222467 317810 381372 444934 476715 635620 667401 889868 953430 1112335 1334802 1906860 2224670 2669604 3337005 4449340 6674010 13348020