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20910820 = 2257413643
BaseRepresentation
bin100111111000…
…1001011100100
31110100101020211
41033301023210
520323121240
62024105204
7342511330
oct117611344
943311224
1020910820
1110892677
127005204
134441b88
142ac47c0
151c80bea
hex13f12e4

20910820 has 48 divisors (see below), whose sum is σ = 51424128. Its totient is φ = 6992640.

The previous prime is 20910803. The next prime is 20910823. The reversal of 20910820 is 2801902.

It is a junction number, because it is equal to n+sod(n) for n = 20910791 and 20910800.

It is not an unprimeable number, because it can be changed into a prime (20910823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3919 + ... + 7561.

It is an arithmetic number, because the mean of its divisors is an integer number (1071336).

Almost surely, 220910820 is an apocalyptic number.

20910820 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 20910820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25712064).

20910820 is an abundant number, since it is smaller than the sum of its proper divisors (30513308).

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

20910820 is a wasteful number, since it uses less digits than its factorization.

20910820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 20910820 is about 4572.8350068639. The cubic root of 20910820 is about 275.5013224531.

The spelling of 20910820 in words is "twenty million, nine hundred ten thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2870 3643 5740 7286 14572 18215 25501 36430 51002 72860 102004 127505 149363 255010 298726 510020 597452 746815 1045541 1493630 2091082 2987260 4182164 5227705 10455410 20910820