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13418944 = 267211389
BaseRepresentation
bin110011001100…
…000111000000
3221020202022221
4303030013000
511413401234
61155340424
7222026200
oct63140700
927222287
1013418944
117635940
1245b1714
132a1ab06
141ad4400
1512a0eb4
hexccc1c0

13418944 has 84 divisors (see below), whose sum is σ = 33878520. Its totient is φ = 5214720.

The previous prime is 13418941. The next prime is 13418953. The reversal of 13418944 is 44981431.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13418941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34302 + ... + 34690.

Almost surely, 213418944 is an apocalyptic number.

13418944 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 13418944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16939260).

13418944 is an abundant number, since it is smaller than the sum of its proper divisors (20459576).

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

13418944 is a wasteful number, since it uses less digits than its factorization.

13418944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 409 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 13418944 is about 3663.1876828795. The cubic root of 13418944 is about 237.6326512887.

The spelling of 13418944 in words is "thirteen million, four hundred eighteen thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 154 176 196 224 308 352 389 392 448 539 616 704 778 784 1078 1232 1556 1568 2156 2464 2723 3112 3136 4279 4312 4928 5446 6224 8558 8624 10892 12448 17116 17248 19061 21784 24896 29953 34232 34496 38122 43568 59906 68464 76244 87136 119812 136928 152488 174272 209671 239624 273856 304976 419342 479248 609952 838684 958496 1219904 1677368 1916992 3354736 6709472 13418944