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13790440 = 2353071123
BaseRepresentation
bin110100100110…
…110011101000
3221221121221001
4310212303220
512012243230
61211324344
7225134236
oct64466350
927847831
1013790440
117869a64
1247506b4
132b1ac31
141b8d956
1513260ca
hexd26ce8

13790440 has 32 divisors (see below), whose sum is σ = 31157280. Its totient is φ = 5493312.

The previous prime is 13790437. The next prime is 13790449. The reversal of 13790440 is 4409731.

13790440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13790399 and 13790408.

It is not an unprimeable number, because it can be changed into a prime (13790449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11719 + ... + 12841.

It is an arithmetic number, because the mean of its divisors is an integer number (973665).

Almost surely, 213790440 is an apocalyptic number.

13790440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13790440 is an abundant number, since it is smaller than the sum of its proper divisors (17366840).

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

13790440 is a wasteful number, since it uses less digits than its factorization.

13790440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 13790440 is about 3713.5481685310. The cubic root of 13790440 is about 239.8056296636.

The spelling of 13790440 in words is "thirteen million, seven hundred ninety thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 307 614 1123 1228 1535 2246 2456 3070 4492 5615 6140 8984 11230 12280 22460 44920 344761 689522 1379044 1723805 2758088 3447610 6895220 13790440