Search a number
13994400 = 253527317
BaseRepresentation
bin110101011000…
…100110100000
3222022222201010
4311120212200
512040310100
61215540520
7226644000
oct65304640
928288633
1013994400
117999222
12482a740
132b8ca14
141c04000
151366750
hexd589a0

13994400 has 288 divisors, whose sum is σ = 56246400. Its totient is φ = 3010560.

The previous prime is 13994389. The next prime is 13994411. The reversal of 13994400 is 449931.

It is an interprime number because it is at equal distance from previous prime (13994389) and next prime (13994411).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 823192 + ... + 823208.

It is an arithmetic number, because the mean of its divisors is an integer number (195300).

Almost surely, 213994400 is an apocalyptic number.

13994400 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 13994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28123200).

13994400 is an abundant number, since it is smaller than the sum of its proper divisors (42252000).

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

13994400 is a wasteful number, since it uses less digits than its factorization.

13994400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 13994400 is about 3740.9089804485. The cubic root of 13994400 is about 240.9820869017.

The spelling of 13994400 in words is "thirteen million, nine hundred ninety-four thousand, four hundred".