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14398920 = 23325233747
BaseRepresentation
bin110110111011…
…010111001000
31000002112121100
4312323113020
512141231140
61232341400
7233250234
oct66732710
930075540
1014398920
118145138
1249a4860
132ca1b93
141cab5c4
1513e6530
hexdbb5c8

14398920 has 192 divisors, whose sum is σ = 51217920. Its totient is φ = 3497472.

The previous prime is 14398861. The next prime is 14398921. The reversal of 14398920 is 2989341.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14398921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306337 + ... + 306383.

It is an arithmetic number, because the mean of its divisors is an integer number (266760).

Almost surely, 214398920 is an apocalyptic number.

14398920 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 14398920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25608960).

14398920 is an abundant number, since it is smaller than the sum of its proper divisors (36819000).

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

14398920 is a wasteful number, since it uses less digits than its factorization.

14398920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 14398920 is about 3794.5908870391. The cubic root of 14398920 is about 243.2819974689.

The spelling of 14398920 in words is "fourteen million, three hundred ninety-eight thousand, nine hundred twenty".