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13927900 = 22527101197
BaseRepresentation
bin110101001000…
…010111011100
3222012121111011
4311020113130
512031143100
61214305004
7226246060
oct65102734
928177434
1013927900
117953268
1247b8164
132b6867c
141bc7aa0
151351bba
hexd485dc

13927900 has 72 divisors (see below), whose sum is σ = 35060256. Its totient is φ = 4704000.

The previous prime is 13927867. The next prime is 13927909. The reversal of 13927900 is 972931.

13927900 = 1582 + 1592 + ... + 3572.

13927900 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

13927900 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13927909) 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, 70602 + ... + 70798.

It is an arithmetic number, because the mean of its divisors is an integer number (486948).

Almost surely, 213927900 is an apocalyptic number.

13927900 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 13927900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17530128).

13927900 is an abundant number, since it is smaller than the sum of its proper divisors (21132356).

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

13927900 is a wasteful number, since it uses less digits than its factorization.

13927900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 13927900 is about 3732.0101821940. The cubic root of 13927900 is about 240.5997730342.

The spelling of 13927900 in words is "thirteen million, nine hundred twenty-seven thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 197 202 350 394 404 505 700 707 788 985 1010 1379 1414 1970 2020 2525 2758 2828 3535 3940 4925 5050 5516 6895 7070 9850 10100 13790 14140 17675 19700 19897 27580 34475 35350 39794 68950 70700 79588 99485 137900 139279 198970 278558 397940 497425 557116 696395 994850 1392790 1989700 2785580 3481975 6963950 13927900