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13412000 = 25537479
BaseRepresentation
bin110011001010…
…011010100000
3221020101210202
4303022122200
511413141000
61155244332
7222000020
oct63123240
927211722
1013412000
1176306a8
1245a96a8
132a178c4
141ad1a80
15129ddd5
hexcca6a0

13412000 has 96 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 4588800.

The previous prime is 13411999. The next prime is 13412011. The reversal of 13412000 is 21431.

It is a happy number.

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, 27761 + ... + 28239.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 213412000 is an apocalyptic number.

13412000 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 13412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

13412000 is an abundant number, since it is smaller than the sum of its proper divisors (24327520).

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

13412000 is an equidigital number, since it uses as much as digits as its factorization.

13412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 13412000 is about 3662.2397518459. The cubic root of 13412000 is about 237.5916543755.

Adding to 13412000 its reverse (21431), we get a palindrome (13433431).

The spelling of 13412000 in words is "thirteen million, four hundred twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 479 500 560 700 800 875 958 1000 1120 1400 1750 1916 2000 2395 2800 3353 3500 3832 4000 4790 5600 6706 7000 7664 9580 11975 13412 14000 15328 16765 19160 23950 26824 28000 33530 38320 47900 53648 59875 67060 76640 83825 95800 107296 119750 134120 167650 191600 239500 268240 335300 383200 419125 479000 536480 670600 838250 958000 1341200 1676500 1916000 2682400 3353000 6706000 13412000