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13890380 = 2257472111
BaseRepresentation
bin110100111111…
…001101001100
3222010201000112
4310333031030
512023443010
61213415152
7226031510
oct64771514
928121015
1013890380
117928059
12479a4b8
132b5457a
141bb8140
151345a05
hexd3f34c

13890380 has 48 divisors (see below), whose sum is σ = 34062336. Its totient is φ = 4658880.

The previous prime is 13890379. The next prime is 13890407. The reversal of 13890380 is 8309831.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

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, 5525 + ... + 7635.

It is an arithmetic number, because the mean of its divisors is an integer number (709632).

Almost surely, 213890380 is an apocalyptic number.

13890380 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 13890380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17031168).

13890380 is an abundant number, since it is smaller than the sum of its proper divisors (20171956).

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

13890380 is a wasteful number, since it uses less digits than its factorization.

13890380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 13890380 is about 3726.9800106789. The cubic root of 13890380 is about 240.3835302942.

The spelling of 13890380 in words is "thirteen million, eight hundred ninety thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 2111 3290 4222 6580 8444 10555 14777 21110 29554 42220 59108 73885 99217 147770 198434 295540 396868 496085 694519 992170 1389038 1984340 2778076 3472595 6945190 13890380