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13632020 = 225739337
BaseRepresentation
bin110100000000…
…001000010100
3221122120121122
4310000020110
511442211040
61204103112
7223604333
oct64001024
927576548
1013632020
117770a36
124694a98
132a93aac
141b4bd1a
1512e41b5
hexd00214

13632020 has 24 divisors (see below), whose sum is σ = 29022504. Its totient is φ = 5377536.

The previous prime is 13632019. The next prime is 13632023. The reversal of 13632020 is 2023631.

It can be written as a sum of positive squares in 4 ways, for example, as 4787344 + 8844676 = 2188^2 + 2974^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13632020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13632023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3209 + ... + 6128.

It is an arithmetic number, because the mean of its divisors is an integer number (1209271).

Almost surely, 213632020 is an apocalyptic number.

13632020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13632020 is an abundant number, since it is smaller than the sum of its proper divisors (15390484).

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

13632020 is a wasteful number, since it uses less digits than its factorization.

13632020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9419 (or 9417 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 13632020 is about 3692.1565513938. The cubic root of 13632020 is about 238.8838216180.

Adding to 13632020 its reverse (2023631), we get a palindrome (15655651).

The spelling of 13632020 in words is "thirteen million, six hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 9337 18674 37348 46685 93370 186740 681601 1363202 2726404 3408005 6816010 13632020