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13857380 = 2251753769
BaseRepresentation
bin110100110111…
…001001100100
3222002000202022
4310313021210
512021414010
61213002312
7225533345
oct64671144
928060668
1013857380
117905289
124783398
132b42544
141baa0cc
15133ad55
hexd37264

13857380 has 48 divisors (see below), whose sum is σ = 31434480. Its totient is φ = 5111808.

The previous prime is 13857373. The next prime is 13857383. The reversal of 13857380 is 8375831.

13857380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 256036 + 13601344 = 506^2 + 3688^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13857380.

It is not an unprimeable number, because it can be changed into a prime (13857383) 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, 17636 + ... + 18404.

It is an arithmetic number, because the mean of its divisors is an integer number (654885).

Almost surely, 213857380 is an apocalyptic number.

13857380 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 13857380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15717240).

13857380 is an abundant number, since it is smaller than the sum of its proper divisors (17577100).

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

13857380 is a wasteful number, since it uses less digits than its factorization.

13857380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 13857380 is about 3722.5502011390. The cubic root of 13857380 is about 240.1930160247.

The spelling of 13857380 in words is "thirteen million, eight hundred fifty-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 769 901 1060 1538 1802 3076 3604 3845 4505 7690 9010 13073 15380 18020 26146 40757 52292 65365 81514 130730 163028 203785 261460 407570 692869 815140 1385738 2771476 3464345 6928690 13857380