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13774896 = 2432172331
BaseRepresentation
bin110100100011…
…000000110000
3221220211121100
4310203000300
512011244041
61211124400
7225041022
oct64430060
927824540
1013774896
117859313
124743700
132b13b35
141b88012
1513216b6
hexd23030

13774896 has 90 divisors (see below), whose sum is σ = 41075372. Its totient is φ = 4308480.

The previous prime is 13774883. The next prime is 13774897. The reversal of 13774896 is 69847731.

It is not an unprimeable number, because it can be changed into a prime (13774897) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41451 + ... + 41781.

Almost surely, 213774896 is an apocalyptic number.

13774896 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 13774896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20537686).

13774896 is an abundant number, since it is smaller than the sum of its proper divisors (27300476).

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

13774896 is a wasteful number, since it uses less digits than its factorization.

13774896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 353 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 13774896 is about 3711.4547013267. The cubic root of 13774896 is about 239.7154962066.

The spelling of 13774896 in words is "thirteen million, seven hundred seventy-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 331 408 578 612 662 816 867 993 1156 1224 1324 1734 1986 2312 2448 2601 2648 2979 3468 3972 4624 5202 5296 5627 5958 6936 7944 10404 11254 11916 13872 15888 16881 20808 22508 23832 33762 41616 45016 47664 50643 67524 90032 95659 101286 135048 191318 202572 270096 286977 382636 405144 573954 765272 810288 860931 1147908 1530544 1721862 2295816 3443724 4591632 6887448 13774896