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13811420 = 2257472099
BaseRepresentation
bin110100101011…
…111011011100
3221222200201002
4310223323130
512013431140
61212005432
7225252350
oct64537334
927880632
1013811420
1178837a7
124760878
132b2764c
141b97460
15132c415
hexd2bedc

13811420 has 48 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 4632384.

The previous prime is 13811419. The next prime is 13811459. The reversal of 13811420 is 2411831.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13811392 and 13811401.

It is a congruent 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, 5531 + ... + 7629.

It is an arithmetic number, because the mean of its divisors is an integer number (705600).

Almost surely, 213811420 is an apocalyptic number.

13811420 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 13811420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

13811420 is an abundant number, since it is smaller than the sum of its proper divisors (20057380).

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

13811420 is a wasteful number, since it uses less digits than its factorization.

13811420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 13811420 is about 3716.3718866658. The cubic root of 13811420 is about 239.9271769797.

The spelling of 13811420 in words is "thirteen million, eight hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 2099 3290 4198 6580 8396 10495 14693 20990 29386 41980 58772 73465 98653 146930 197306 293860 394612 493265 690571 986530 1381142 1973060 2762284 3452855 6905710 13811420