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13799940 = 223571129103
BaseRepresentation
bin110100101001…
…001000000100
3221222002221220
4310221020010
512013044230
61211440340
7225204030
oct64511004
927862856
1013799940
117876110
1247560b0
132b2235b
141b931c0
151328d10
hexd29204

13799940 has 192 divisors, whose sum is σ = 50319360. Its totient is φ = 2741760.

The previous prime is 13799939. The next prime is 13800013. The reversal of 13799940 is 4999731.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 13799892 and 13799901.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133929 + ... + 134031.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 213799940 is an apocalyptic number.

13799940 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 13799940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159680).

13799940 is an abundant number, since it is smaller than the sum of its proper divisors (36519420).

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

13799940 is a wasteful number, since it uses less digits than its factorization.

13799940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 13799940 is about 3714.8270484640. The cubic root of 13799940 is about 239.8606830328.

The spelling of 13799940 in words is "thirteen million, seven hundred ninety-nine thousand, nine hundred forty".