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20624820 = 22351392473
BaseRepresentation
bin100111010101…
…1010110110100
31102210211221020
41032223112310
520234443240
62014021140
7340210446
oct116532664
942724836
1020624820
1110707807
126aa77b0
134371948
142a4c496
151c260d0
hex13ab5b4

20624820 has 48 divisors (see below), whose sum is σ = 58188480. Its totient is φ = 5458176.

The previous prime is 20624809. The next prime is 20624831. The reversal of 20624820 is 2842602.

It is an interprime number because it is at equal distance from previous prime (20624809) and next prime (20624831).

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, 7104 + ... + 9576.

It is an arithmetic number, because the mean of its divisors is an integer number (1212260).

Almost surely, 220624820 is an apocalyptic number.

20624820 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 20624820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29094240).

20624820 is an abundant number, since it is smaller than the sum of its proper divisors (37563660).

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

20624820 is a wasteful number, since it uses less digits than its factorization.

20624820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 20624820 is about 4541.4557137552. The cubic root of 20624820 is about 274.2395298293.

The spelling of 20624820 in words is "twenty million, six hundred twenty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 2085 2473 2780 4170 4946 7419 8340 9892 12365 14838 24730 29676 37095 49460 74190 148380 343747 687494 1031241 1374988 1718735 2062482 3437470 4124964 5156205 6874940 10312410 20624820