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14105920 = 265172593
BaseRepresentation
bin110101110011…
…110101000000
3222112122200111
4311303311000
512102342140
61222201104
7230620063
oct65636500
928478614
1014105920
117a64a94
124883194
132bcb6ca
141c328da
1513897ea
hexd73d40

14105920 has 56 divisors (see below), whose sum is σ = 35579304. Its totient is φ = 5308416.

The previous prime is 14105909. The next prime is 14105921. The reversal of 14105920 is 2950141.

14105920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3504384 + 10601536 = 1872^2 + 3256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14105891 and 14105900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14105921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4144 + ... + 6736.

Almost surely, 214105920 is an apocalyptic number.

14105920 is a gapful number since it is divisible by the number (10) 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 14105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17789652).

14105920 is an abundant number, since it is smaller than the sum of its proper divisors (21473384).

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

14105920 is a wasteful number, since it uses less digits than its factorization.

14105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 14105920 is about 3755.7848713684. The cubic root of 14105920 is about 241.6205149020.

The spelling of 14105920 in words is "fourteen million, one hundred five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2593 2720 5186 5440 10372 12965 20744 25930 41488 44081 51860 82976 88162 103720 165952 176324 207440 220405 352648 414880 440810 705296 829760 881620 1410592 1763240 2821184 3526480 7052960 14105920