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20624982 = 237231273
BaseRepresentation
bin100111010101…
…1011001010110
31102210212011020
41032223121112
520234444412
62014022010
7340211100
oct116533126
942725136
1020624982
1110707944
126aa7906
134371a41
142a4c570
151c2618c
hex13ab656

20624982 has 72 divisors (see below), whose sum is σ = 50261688. Its totient is φ = 5624640.

The previous prime is 20624977. The next prime is 20624987. The reversal of 20624982 is 28942602.

It is an interprime number because it is at equal distance from previous prime (20624977) and next prime (20624987).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20624987) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 282498 + ... + 282570.

It is an arithmetic number, because the mean of its divisors is an integer number (698079).

Almost surely, 220624982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20624982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25130844).

20624982 is an abundant number, since it is smaller than the sum of its proper divisors (29636706).

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

20624982 is a wasteful number, since it uses less digits than its factorization.

20624982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 20624982 is about 4541.4735494110. The cubic root of 20624982 is about 274.2402478426.

The spelling of 20624982 in words is "twenty million, six hundred twenty-four thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 73 93 98 146 147 186 217 219 294 434 438 511 651 961 1022 1302 1519 1533 1922 2263 2883 3038 3066 3577 4526 4557 5766 6727 6789 7154 9114 10731 13454 13578 15841 20181 21462 31682 40362 47089 47523 70153 94178 95046 110887 140306 141267 210459 221774 282534 332661 420918 491071 665322 982142 1473213 2946426 3437497 6874994 10312491 20624982