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13379220 = 22325239311
BaseRepresentation
bin110011000010…
…011010010100
3221011201211200
4303002122110
511411113340
61154432500
7221502321
oct63023224
927151750
1013379220
117609008
124592730
132a059ca
141ac3b48
151294330
hexcc2694

13379220 has 72 divisors (see below), whose sum is σ = 40884480. Its totient is φ = 3541440.

The previous prime is 13379213. The next prime is 13379227. The reversal of 13379220 is 2297331.

13379220 = T376 + T377 + ... + T510.

It is an interprime number because it is at equal distance from previous prime (13379213) and next prime (13379227).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13379227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42865 + ... + 43175.

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

Almost surely, 213379220 is an apocalyptic number.

13379220 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 13379220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442240).

13379220 is an abundant number, since it is smaller than the sum of its proper divisors (27505260).

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

13379220 is a wasteful number, since it uses less digits than its factorization.

13379220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 13379220 is about 3657.7616106029. The cubic root of 13379220 is about 237.3979321343.

The spelling of 13379220 in words is "thirteen million, three hundred seventy-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 239 311 478 622 717 933 956 1195 1244 1434 1555 1866 2151 2390 2799 2868 3110 3585 3732 4302 4665 4780 5598 6220 7170 8604 9330 10755 11196 13995 14340 18660 21510 27990 43020 55980 74329 148658 222987 297316 371645 445974 668961 743290 891948 1114935 1337922 1486580 2229870 2675844 3344805 4459740 6689610 13379220