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13402920 = 2335611831
BaseRepresentation
bin110011001000…
…001100101000
3221012221100110
4303020030220
511412343140
61155134320
7221631366
oct63101450
927187313
1013402920
1176248a3
1245a43a0
132a1372b
141acc636
15129b380
hexcc8328

13402920 has 64 divisors (see below), whose sum is σ = 40890240. Its totient is φ = 3513600.

The previous prime is 13402913. The next prime is 13402937. The reversal of 13402920 is 2920431.

It is a Cunningham number, because it is equal to 36612-1.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6405 + ... + 8235.

It is an arithmetic number, because the mean of its divisors is an integer number (638910).

Almost surely, 213402920 is an apocalyptic number.

13402920 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 13402920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20445120).

13402920 is an abundant number, since it is smaller than the sum of its proper divisors (27487320).

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

13402920 is a wasteful number, since it uses less digits than its factorization.

13402920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13402920 is about 3660.9998634253. Note that the first 3 decimals coincide. The cubic root of 13402920 is about 237.5380253058.

The spelling of 13402920 in words is "thirteen million, four hundred two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 1831 2440 3660 3662 5493 7320 7324 9155 10986 14648 18310 21972 27465 36620 43944 54930 73240 109860 111691 219720 223382 335073 446764 558455 670146 893528 1116910 1340292 1675365 2233820 2680584 3350730 4467640 6701460 13402920