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13994496 = 29323037
BaseRepresentation
bin110101011000…
…101000000000
3222022222211200
4311120220000
512040310441
61215541200
7226644165
oct65305000
928288750
1013994496
1179992aa
12482a800
132b8ca89
141c0406c
1513667b6
hexd58a00

13994496 has 60 divisors (see below), whose sum is σ = 40402362. Its totient is φ = 4663296.

The previous prime is 13994483. The next prime is 13994503. The reversal of 13994496 is 69449931.

It can be written as a sum of positive squares in only one way, i.e., 9734400 + 4260096 = 3120^2 + 2064^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3090 + ... + 6126.

Almost surely, 213994496 is an apocalyptic number.

13994496 is a gapful number since it is divisible by the number (16) 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 13994496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20201181).

13994496 is an abundant number, since it is smaller than the sum of its proper divisors (26407866).

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

13994496 is an equidigital number, since it uses as much as digits as its factorization.

13994496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3042 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 13994496 is about 3740.9218115326. The cubic root of 13994496 is about 240.9826379370.

The spelling of 13994496 in words is "thirteen million, nine hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 3037 4608 6074 9111 12148 18222 24296 27333 36444 48592 54666 72888 97184 109332 145776 194368 218664 291552 388736 437328 583104 777472 874656 1166208 1554944 1749312 2332416 3498624 4664832 6997248 13994496