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13623780 = 2235673389
BaseRepresentation
bin110011111110…
…000111100100
3221122011022110
4303332013210
511441430110
61204001020
7223541322
oct63760744
927564273
1013623780
117765825
124690170
132a90111
141b48d12
1512e1a20
hexcfe1e4

13623780 has 48 divisors (see below), whose sum is σ = 38727360. Its totient is φ = 3577728.

The previous prime is 13623773. The next prime is 13623781. The reversal of 13623780 is 8732631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13623781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2326 + ... + 5714.

It is an arithmetic number, because the mean of its divisors is an integer number (806820).

Almost surely, 213623780 is an apocalyptic number.

13623780 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 13623780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19363680).

13623780 is an abundant number, since it is smaller than the sum of its proper divisors (25103580).

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

13623780 is a wasteful number, since it uses less digits than its factorization.

13623780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 13623780 is about 3691.0405037062. The cubic root of 13623780 is about 238.8356800750.

The spelling of 13623780 in words is "thirteen million, six hundred twenty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 3389 4020 6778 10167 13556 16945 20334 33890 40668 50835 67780 101670 203340 227063 454126 681189 908252 1135315 1362378 2270630 2724756 3405945 4541260 6811890 13623780