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20918106 = 23211293643
BaseRepresentation
bin100111111001…
…0111101011010
31110100202020200
41033302331122
520323334411
62024203030
7342541506
oct117627532
943322220
1020918106
11108980a0
127009476
1344452a1
142ac7306
151c82e56
hex13f2f5a

20918106 has 48 divisors (see below), whose sum is σ = 51161760. Its totient is φ = 6118560.

The previous prime is 20918099. The next prime is 20918113. The reversal of 20918106 is 60181902.

It is an interprime number because it is at equal distance from previous prime (20918099) and next prime (20918113).

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 20918106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3921 + ... + 7563.

It is an arithmetic number, because the mean of its divisors is an integer number (1065870).

Almost surely, 220918106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20918106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25580880).

20918106 is an abundant number, since it is smaller than the sum of its proper divisors (30243654).

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

20918106 is a wasteful number, since it uses less digits than its factorization.

20918106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3691 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 20918106 is about 4573.6315986314. The cubic root of 20918106 is about 275.5333165681.

The spelling of 20918106 in words is "twenty million, nine hundred eighteen thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 3643 5742 7286 10929 21858 32787 40073 65574 80146 105647 120219 211294 240438 316941 360657 633882 721314 950823 1162117 1901646 2324234 3486351 6972702 10459053 20918106