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20579104 = 2571337191
BaseRepresentation
bin100111010000…
…0001100100000
31102201112020001
41032200030200
520232012404
62013025344
7336630250
oct116401440
942645201
1020579104
1110686427
126a85254
134356bb0
142a39960
151c177a4
hex13a0320

20579104 has 96 divisors (see below), whose sum is σ = 51480576. Its totient is φ = 7879680.

The previous prime is 20579101. The next prime is 20579113. The reversal of 20579104 is 40197502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20579101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107649 + ... + 107839.

It is an arithmetic number, because the mean of its divisors is an integer number (536256).

Almost surely, 220579104 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 20579104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25740288).

20579104 is an abundant number, since it is smaller than the sum of its proper divisors (30901472).

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

20579104 is a wasteful number, since it uses less digits than its factorization.

20579104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 20579104 is about 4536.4197336666. The cubic root of 20579104 is about 274.0367578157.

The spelling of 20579104 in words is "twenty million, five hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 37 52 56 74 91 104 112 148 182 191 208 224 259 296 364 382 416 481 518 592 728 764 962 1036 1184 1337 1456 1528 1924 2072 2483 2674 2912 3056 3367 3848 4144 4966 5348 6112 6734 7067 7696 8288 9932 10696 13468 14134 15392 17381 19864 21392 26936 28268 34762 39728 42784 49469 53872 56536 69524 79456 91871 98938 107744 113072 139048 183742 197876 226144 278096 367484 395752 556192 643097 734968 791504 1286194 1469936 1583008 2572388 2939872 5144776 10289552 20579104