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13888380 = 22351121913
BaseRepresentation
bin110100111110…
…101101111100
3222010121021110
4310332231330
512023412010
61213402020
7226022622
oct64765574
928117243
1013888380
117926600
124799310
132b5369c
141bb7512
151345120
hexd3eb7c

13888380 has 72 divisors (see below), whose sum is σ = 42766416. Its totient is φ = 3365120.

The previous prime is 13888379. The next prime is 13888387. The reversal of 13888380 is 8388831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13888387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6304 + ... + 8216.

It is an arithmetic number, because the mean of its divisors is an integer number (593978).

Almost surely, 213888380 is an apocalyptic number.

13888380 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 13888380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21383208).

13888380 is an abundant number, since it is smaller than the sum of its proper divisors (28878036).

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

13888380 is a wasteful number, since it uses less digits than its factorization.

13888380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 13888380 is about 3726.7116872653. The cubic root of 13888380 is about 240.3719925696.

The spelling of 13888380 in words is "thirteen million, eight hundred eighty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 1913 2420 3630 3826 5739 7260 7652 9565 11478 19130 21043 22956 28695 38260 42086 57390 63129 84172 105215 114780 126258 210430 231473 252516 315645 420860 462946 631290 694419 925892 1157365 1262580 1388838 2314730 2777676 3472095 4629460 6944190 13888380