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13855940 = 2257195209
BaseRepresentation
bin110100110110…
…110011000100
3222001221202222
4310312303010
512021342230
61212551512
7225526220
oct64666304
928057688
1013855940
11790419a
124782598
132b419a7
141ba9780
15133a6e5
hexd36cc4

13855940 has 48 divisors (see below), whose sum is σ = 35011200. Its totient is φ = 4499712.

The previous prime is 13855931. The next prime is 13855943. The reversal of 13855940 is 4955831.

13855940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13855940.

It is not an unprimeable number, because it can be changed into a prime (13855943) 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, 56 + ... + 5264.

It is an arithmetic number, because the mean of its divisors is an integer number (729400).

Almost surely, 213855940 is an apocalyptic number.

13855940 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 13855940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17505600).

13855940 is an abundant number, since it is smaller than the sum of its proper divisors (21155260).

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

13855940 is a wasteful number, since it uses less digits than its factorization.

13855940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5244 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 13855940 is about 3722.3567803208. The cubic root of 13855940 is about 240.1846957909.

The spelling of 13855940 in words is "thirteen million, eight hundred fifty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 5209 10418 20836 26045 36463 52090 72926 98971 104180 145852 182315 197942 364630 395884 494855 692797 729260 989710 1385594 1979420 2771188 3463985 6927970 13855940