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13921992 = 23327231201
BaseRepresentation
bin110101000110…
…111011001000
3222012022101100
4311012323020
512031000432
61214221400
7226222620
oct65067310
928168340
1013921992
117949887
1247b4860
132b65a86
141bc5880
15135007c
hexd46ec8

13921992 has 96 divisors (see below), whose sum is σ = 45002880. Its totient is φ = 3801600.

The previous prime is 13921979. The next prime is 13922017. The reversal of 13921992 is 29912931.

It is a happy number.

13921992 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×139219922 = 387643722496128, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 10992 + ... + 12192.

It is an arithmetic number, because the mean of its divisors is an integer number (468780).

Almost surely, 213921992 is an apocalyptic number.

13921992 is a gapful number since it is divisible by the number (12) 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 13921992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22501440).

13921992 is an abundant number, since it is smaller than the sum of its proper divisors (31080888).

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

13921992 is a wasteful number, since it uses less digits than its factorization.

13921992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1236 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 13921992 is about 3731.2185677068. The cubic root of 13921992 is about 240.5657486540.

The spelling of 13921992 in words is "thirteen million, nine hundred twenty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1201 1288 1449 1656 1932 2402 2898 3603 3864 4804 5796 7206 8407 9608 10809 11592 14412 16814 21618 25221 27623 28824 33628 43236 50442 55246 67256 75663 82869 86472 100884 110492 151326 165738 193361 201768 220984 248607 302652 331476 386722 497214 580083 605304 662952 773444 994428 1160166 1546888 1740249 1988856 2320332 3480498 4640664 6960996 13921992