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13631820 = 2235673391
BaseRepresentation
bin110100000000…
…000101001100
3221122120100020
4310000011030
511442204240
61204102140
7223603626
oct64000514
927576306
1013631820
117770874
124694950
132a93987
141b4bc16
1512e40d0
hexd0014c

13631820 has 48 divisors (see below), whose sum is σ = 38750208. Its totient is φ = 3579840.

The previous prime is 13631819. The next prime is 13631831. The reversal of 13631820 is 2813631.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2325 + ... + 5715.

It is an arithmetic number, because the mean of its divisors is an integer number (807296).

Almost surely, 213631820 is an apocalyptic number.

13631820 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 13631820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19375104).

13631820 is an abundant number, since it is smaller than the sum of its proper divisors (25118388).

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

13631820 is a wasteful number, since it uses less digits than its factorization.

13631820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 13631820 is about 3692.1294668524. The cubic root of 13631820 is about 238.8826533637.

The spelling of 13631820 in words is "thirteen million, six hundred thirty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 3391 4020 6782 10173 13564 16955 20346 33910 40692 50865 67820 101730 203460 227197 454394 681591 908788 1135985 1363182 2271970 2726364 3407955 4543940 6815910 13631820