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13961024 = 267112833
BaseRepresentation
bin110101010000…
…011101000000
3222021021220222
4311100131000
512033223044
61215122212
7226444460
oct65203500
928237828
1013961024
117976140
124813368
132b7a77c
141bd5ba0
15135b8ee
hexd50740

13961024 has 56 divisors (see below), whose sum is σ = 34552128. Its totient is φ = 5437440.

The previous prime is 13960987. The next prime is 13961071. The reversal of 13961024 is 42016931.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×139610242 = 389820382257152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13960984 and 13961002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3512 + ... + 6344.

Almost surely, 213961024 is an apocalyptic number.

13961024 is a gapful number since it is divisible by the number (14) 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 13961024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17276064).

13961024 is an abundant number, since it is smaller than the sum of its proper divisors (20591104).

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

13961024 is a wasteful number, since it uses less digits than its factorization.

13961024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 13961024 is about 3736.4453695993. The cubic root of 13961024 is about 240.7903573362.

Adding to 13961024 its reverse (42016931), we get a palindrome (55977955).

The spelling of 13961024 in words is "thirteen million, nine hundred sixty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 2833 4928 5666 11332 19831 22664 31163 39662 45328 62326 79324 90656 124652 158648 181312 218141 249304 317296 436282 498608 634592 872564 997216 1269184 1745128 1994432 3490256 6980512 13961024