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13906944 = 21033503
BaseRepresentation
bin110101000011…
…010000000000
3222011112202000
4311003100000
512030010234
61214024000
7226131012
oct65032000
928145660
1013906944
117939547
1247a8000
132b5bc7c
141bc01b2
15134a899
hexd43400

13906944 has 88 divisors (see below), whose sum is σ = 41267520. Its totient is φ = 4626432.

The previous prime is 13906943. The next prime is 13906999. The reversal of 13906944 is 44960931.

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

It is a junction number, because it is equal to n+sod(n) for n = 13906899 and 13906908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13906943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27397 + ... + 27899.

Almost surely, 213906944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13906944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20633760).

13906944 is an abundant number, since it is smaller than the sum of its proper divisors (27360576).

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

13906944 is an equidigital number, since it uses as much as digits as its factorization.

13906944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 13906944 is about 3729.2015231146. The cubic root of 13906944 is about 240.4790431873.

The spelling of 13906944 in words is "thirteen million, nine hundred six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 503 512 576 768 864 1006 1024 1152 1509 1536 1728 2012 2304 3018 3072 3456 4024 4527 4608 6036 6912 8048 9054 9216 12072 13581 13824 16096 18108 24144 27162 27648 32192 36216 48288 54324 64384 72432 96576 108648 128768 144864 193152 217296 257536 289728 386304 434592 515072 579456 772608 869184 1158912 1545216 1738368 2317824 3476736 4635648 6953472 13906944