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13408380 = 22325163457
BaseRepresentation
bin110011001001…
…100001111100
3221020012211200
4303021201330
511413032010
61155215500
7221653326
oct63114174
927205750
1013408380
117628a07
1245a7590
132a1606b
141ad0616
15129ccc0
hexcc987c

13408380 has 72 divisors (see below), whose sum is σ = 41011152. Its totient is φ = 3545856.

The previous prime is 13408331. The next prime is 13408397. The reversal of 13408380 is 8380431.

13408380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29112 + ... + 29568.

Almost surely, 213408380 is an apocalyptic number.

13408380 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 13408380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20505576).

13408380 is an abundant number, since it is smaller than the sum of its proper divisors (27602772).

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

13408380 is a wasteful number, since it uses less digits than its factorization.

13408380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13408380 is about 3661.7454854209. The cubic root of 13408380 is about 237.5702765253.

The spelling of 13408380 in words is "thirteen million, four hundred eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 163 180 326 457 489 652 815 914 978 1371 1467 1630 1828 1956 2285 2445 2742 2934 3260 4113 4570 4890 5484 5868 6855 7335 8226 9140 9780 13710 14670 16452 20565 27420 29340 41130 74491 82260 148982 223473 297964 372455 446946 670419 744910 893892 1117365 1340838 1489820 2234730 2681676 3352095 4469460 6704190 13408380