Search a number
-
+
13938880 = 265431013
BaseRepresentation
bin110101001011…
…000011000000
3222020011112211
4311023003000
512032021010
61214431504
7226323064
oct65130300
928204484
1013938880
11796053a
124802594
132b70677
141bcbaa4
15135508a
hexd4b0c0

13938880 has 56 divisors (see below), whose sum is σ = 33997392. Its totient is φ = 5440512.

The previous prime is 13938857. The next prime is 13938907. The reversal of 13938880 is 8883931.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13254 + ... + 14266.

Almost surely, 213938880 is an apocalyptic number.

13938880 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 13938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16998696).

13938880 is an abundant number, since it is smaller than the sum of its proper divisors (20058512).

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

13938880 is a wasteful number, since it uses less digits than its factorization.

13938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 13938880 is about 3733.4809494626. The cubic root of 13938880 is about 240.6629816921.

The spelling of 13938880 in words is "thirteen million, nine hundred thirty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 688 860 1013 1376 1720 2026 2752 3440 4052 5065 6880 8104 10130 13760 16208 20260 32416 40520 43559 64832 81040 87118 162080 174236 217795 324160 348472 435590 696944 871180 1393888 1742360 2787776 3484720 6969440 13938880