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13755104 = 2511231699
BaseRepresentation
bin110100011110…
…001011100000
3221212211110022
4310132023200
512010130404
61210453012
7224626226
oct64361340
927784408
1013755104
117845460
124734168
132b07b1c
141b80b16
15131a8be
hexd1e2e0

13755104 has 48 divisors (see below), whose sum is σ = 30844800. Its totient is φ = 5976960.

The previous prime is 13755101. The next prime is 13755109. The reversal of 13755104 is 40155731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13755101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7247 + ... + 8945.

It is an arithmetic number, because the mean of its divisors is an integer number (642600).

Almost surely, 213755104 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 13755104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400).

13755104 is an abundant number, since it is smaller than the sum of its proper divisors (17089696).

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

13755104 is a wasteful number, since it uses less digits than its factorization.

13755104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 13755104 is about 3708.7874029122. The cubic root of 13755104 is about 239.6006321036.

The spelling of 13755104 in words is "thirteen million, seven hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 1699 2024 3398 4048 6796 8096 13592 18689 27184 37378 39077 54368 74756 78154 149512 156308 299024 312616 429847 598048 625232 859694 1250464 1719388 3438776 6877552 13755104