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13961934 = 2327293821
BaseRepresentation
bin110101010000…
…101011001110
3222021100011200
4311100223032
512033240214
61215130330
7226450230
oct65205316
928240150
1013961934
117976898
1248139a6
132b7accc
141bd6250
15135bd09
hexd50ace

13961934 has 48 divisors (see below), whose sum is σ = 35773920. Its totient is φ = 3850560.

The previous prime is 13961933. The next prime is 13961939. The reversal of 13961934 is 43916931.

13961934 is a `hidden beast` number, since 1 + 3 + 9 + 619 + 34 = 666.

13961934 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (13961933) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1744 + ... + 5564.

It is an arithmetic number, because the mean of its divisors is an integer number (745290).

Almost surely, 213961934 is an apocalyptic number.

13961934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13961934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17886960).

13961934 is an abundant number, since it is smaller than the sum of its proper divisors (21811986).

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

13961934 is a wasteful number, since it uses less digits than its factorization.

13961934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3865 (or 3862 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 13961934 is about 3736.5671411069. The cubic root of 13961934 is about 240.7955889120.

The spelling of 13961934 in words is "thirteen million, nine hundred sixty-one thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 3654 3821 7642 11463 22926 26747 34389 53494 68778 80241 110809 160482 221618 240723 332427 481446 664854 775663 997281 1551326 1994562 2326989 4653978 6980967 13961934