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13373820 = 22325191389
BaseRepresentation
bin110011000001…
…000101111100
3221011110102200
4303001011330
511410430240
61154351500
7221450505
oct63010574
927143380
1013373820
117604a49
12458b590
132a03405
141ac1bac
151292930
hexcc117c

13373820 has 72 divisors (see below), whose sum is σ = 40884480. Its totient is φ = 3538560.

The previous prime is 13373809. The next prime is 13373839. The reversal of 13373820 is 2837331.

It is a super-2 number, since 2×133738202 = 357718122784800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34186 + ... + 34574.

It is an arithmetic number, because the mean of its divisors is an integer number (567840).

Almost surely, 213373820 is an apocalyptic number.

13373820 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 13373820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442240).

13373820 is an abundant number, since it is smaller than the sum of its proper divisors (27510660).

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

13373820 is a wasteful number, since it uses less digits than its factorization.

13373820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13373820 is about 3657.0233797448. The cubic root of 13373820 is about 237.3659890329.

The spelling of 13373820 in words is "thirteen million, three hundred seventy-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 389 573 764 778 955 1146 1167 1556 1719 1910 1945 2292 2334 2865 3438 3501 3820 3890 4668 5730 5835 6876 7002 7780 8595 11460 11670 14004 17190 17505 23340 34380 35010 70020 74299 148598 222897 297196 371495 445794 668691 742990 891588 1114485 1337382 1485980 2228970 2674764 3343455 4457940 6686910 13373820