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20538108 = 22321737907
BaseRepresentation
bin100111001011…
…0001011111100
31102122102222200
41032112023330
520224204413
62012111500
7336366603
oct116261374
942572880
1020538108
1110658648
126a65590
134341336
142a28a3a
151c0a573
hex13962fc

20538108 has 72 divisors (see below), whose sum is σ = 56517552. Its totient is φ = 6262272.

The previous prime is 20538043. The next prime is 20538109. The reversal of 20538108 is 80183502.

It is a happy number.

20538108 is a `hidden beast` number, since 20 + 538 + 108 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20538109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22191 + ... + 23097.

It is an arithmetic number, because the mean of its divisors is an integer number (784966).

Almost surely, 220538108 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 20538108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28258776).

20538108 is an abundant number, since it is smaller than the sum of its proper divisors (35979444).

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

20538108 is a wasteful number, since it uses less digits than its factorization.

20538108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 20538108 is about 4531.8989397382. The cubic root of 20538108 is about 273.8546656754.

The spelling of 20538108 in words is "twenty million, five hundred thirty-eight thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 306 333 444 612 629 666 907 1258 1332 1814 1887 2516 2721 3628 3774 5442 5661 7548 8163 10884 11322 15419 16326 22644 30838 32652 33559 46257 61676 67118 92514 100677 134236 138771 185028 201354 277542 302031 402708 555084 570503 604062 1141006 1208124 1711509 2282012 3423018 5134527 6846036 10269054 20538108