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14106620 = 22511371733
BaseRepresentation
bin110101110011…
…111111111100
3222112200122102
4311303333330
512102402440
61222204232
7230622113
oct65637774
928480572
1014106620
117a65570
124883678
132bcbb18
141c32c7a
151389b15
hexd73ffc

14106620 has 48 divisors (see below), whose sum is σ = 33209568. Its totient is φ = 4988160.

The previous prime is 14106619. The next prime is 14106637. The reversal of 14106620 is 2660141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14106592 and 14106601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7274 + ... + 9006.

It is an arithmetic number, because the mean of its divisors is an integer number (691866).

Almost surely, 214106620 is an apocalyptic number.

14106620 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 14106620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16604784).

14106620 is an abundant number, since it is smaller than the sum of its proper divisors (19102948).

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

14106620 is a wasteful number, since it uses less digits than its factorization.

14106620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 14106620 is about 3755.8780597884. The cubic root of 14106620 is about 241.6245116060.

Adding to 14106620 its reverse (2660141), we get a palindrome (16766761).

The spelling of 14106620 in words is "fourteen million, one hundred six thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 1733 2035 3466 4070 6932 8140 8665 17330 19063 34660 38126 64121 76252 95315 128242 190630 256484 320605 381260 641210 705331 1282420 1410662 2821324 3526655 7053310 14106620