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20582340 = 2235834133
BaseRepresentation
bin100111010000…
…0111111000100
31102201200122220
41032200333010
520232113330
62013052340
7336642552
oct116407704
942650586
1020582340
11106888a9
126a870b0
1343584cc
142a3abd2
151c18710
hex13a0fc4

20582340 has 48 divisors (see below), whose sum is σ = 58339008. Its totient is φ = 5421184.

The previous prime is 20582321. The next prime is 20582383. The reversal of 20582340 is 4328502.

It is a self number, because there is not a number n which added to its sum of digits gives 20582340.

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, 2914 + ... + 7046.

It is an arithmetic number, because the mean of its divisors is an integer number (1215396).

Almost surely, 220582340 is an apocalyptic number.

20582340 is a gapful number since it is divisible by the number (20) 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 20582340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29169504).

20582340 is an abundant number, since it is smaller than the sum of its proper divisors (37756668).

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

20582340 is a wasteful number, since it uses less digits than its factorization.

20582340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4228 (or 4226 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 20582340 is about 4536.7763885825. The cubic root of 20582340 is about 274.0511208717.

The spelling of 20582340 in words is "twenty million, five hundred eighty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4133 4980 8266 12399 16532 20665 24798 41330 49596 61995 82660 123990 247980 343039 686078 1029117 1372156 1715195 2058234 3430390 4116468 5145585 6860780 10291170 20582340