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13379340 = 223513171009
BaseRepresentation
bin110011000010…
…011100001100
3221011202000010
4303002130030
511411114330
61154433220
7221502552
oct63023414
927152003
1013379340
117609107
124592810
132a05a90
141ac3bd2
1512943b0
hexcc270c

13379340 has 96 divisors (see below), whose sum is σ = 42759360. Its totient is φ = 3096576.

The previous prime is 13379329. The next prime is 13379341. The reversal of 13379340 is 4397331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13379298 and 13379307.

It is not an unprimeable number, because it can be changed into a prime (13379341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12756 + ... + 13764.

It is an arithmetic number, because the mean of its divisors is an integer number (445410).

Almost surely, 213379340 is an apocalyptic number.

13379340 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 13379340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21379680).

13379340 is an abundant number, since it is smaller than the sum of its proper divisors (29380020).

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

13379340 is a wasteful number, since it uses less digits than its factorization.

13379340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 13379340 is about 3657.7780140408. The cubic root of 13379340 is about 237.3986418833.

Subtracting from 13379340 its reverse (4397331), we obtain a square (8982009 = 29972).

The spelling of 13379340 in words is "thirteen million, three hundred seventy-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1009 1020 1105 1326 2018 2210 2652 3027 3315 4036 4420 5045 6054 6630 10090 12108 13117 13260 15135 17153 20180 26234 30270 34306 39351 51459 52468 60540 65585 68612 78702 85765 102918 131170 157404 171530 196755 205836 222989 257295 262340 343060 393510 445978 514590 668967 787020 891956 1029180 1114945 1337934 2229890 2675868 3344835 4459780 6689670 13379340