Search a number
-
+
13831800 = 2335223053
BaseRepresentation
bin110100110000…
…111001111000
3222000201122220
4310300321320
512020104200
61212244040
7225365643
oct64607170
928021586
1013831800
117898044
124770620
132b339c8
141ba0a5a
1513334a0
hexd30e78

13831800 has 48 divisors (see below), whose sum is σ = 42880440. Its totient is φ = 3688320.

The previous prime is 13831777. The next prime is 13831817. The reversal of 13831800 is 813831.

13831800 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10927 + ... + 12126.

Almost surely, 213831800 is an apocalyptic number.

13831800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13831800 is an abundant number, since it is smaller than the sum of its proper divisors (29048640).

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

13831800 is a wasteful number, since it uses less digits than its factorization.

13831800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23072 (or 23063 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 13831800 is about 3719.1127974290. The cubic root of 13831800 is about 240.0451304019.

The spelling of 13831800 in words is "thirteen million, eight hundred thirty-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 23053 46106 69159 92212 115265 138318 184424 230530 276636 345795 461060 553272 576325 691590 922120 1152650 1383180 1728975 2305300 2766360 3457950 4610600 6915900 13831800