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13794048 = 28325987
BaseRepresentation
bin110100100111…
…101100000000
3221221210212200
4310213230000
512012402143
61211353200
7225150612
oct64475400
927853780
1013794048
117871744
124752800
132b1c778
141b90db2
1513271d3
hexd27b00

13794048 has 54 divisors (see below), whose sum is σ = 39778284. Its totient is φ = 4597248.

The previous prime is 13794047. The next prime is 13794049. The reversal of 13794048 is 84049731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13794047) and next prime (13794049).

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

It is not an unprimeable number, because it can be changed into a prime (13794041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 690 + ... + 5297.

Almost surely, 213794048 is an apocalyptic number.

13794048 is a gapful number since it is divisible by the number (18) 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 13794048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19889142).

13794048 is an abundant number, since it is smaller than the sum of its proper divisors (25984236).

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

13794048 is an equidigital number, since it uses as much as digits as its factorization.

13794048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6009 (or 5992 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 13794048 is about 3714.0339255316. The cubic root of 13794048 is about 239.8265413306.

The spelling of 13794048 in words is "thirteen million, seven hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 5987 11974 17961 23948 35922 47896 53883 71844 95792 107766 143688 191584 215532 287376 383168 431064 574752 766336 862128 1149504 1532672 1724256 2299008 3448512 4598016 6897024 13794048