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20125820 = 225111331227
BaseRepresentation
bin100110011000…
…1100001111100
31101212111102202
41030301201330
520123011240
61555211032
7333031601
oct114614174
941774382
1020125820
11103a6910
1268a6a78
134228790
14295c6a8
151b78315
hex133187c

20125820 has 96 divisors (see below), whose sum is σ = 51480576. Its totient is φ = 6508800.

The previous prime is 20125799. The next prime is 20125829. The reversal of 20125820 is 2852102.

20125820 = T313 + T314 + ... + T532.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20125792 and 20125801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20125829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88547 + ... + 88773.

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

Almost surely, 220125820 is an apocalyptic number.

20125820 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 20125820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25740288).

20125820 is an abundant number, since it is smaller than the sum of its proper divisors (31354756).

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

20125820 is a wasteful number, since it uses less digits than its factorization.

20125820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 20125820 is about 4486.1810039275. The cubic root of 20125820 is about 272.0097855476.

Adding to 20125820 its reverse (2852102), we get a palindrome (22977922).

The spelling of 20125820 in words is "twenty million, one hundred twenty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 31 44 52 55 62 65 110 124 130 143 155 220 227 260 286 310 341 403 454 572 620 682 715 806 908 1135 1364 1430 1612 1705 2015 2270 2497 2860 2951 3410 4030 4433 4540 4994 5902 6820 7037 8060 8866 9988 11804 12485 14074 14755 17732 22165 24970 28148 29510 32461 35185 44330 49940 59020 64922 70370 77407 88660 91481 129844 140740 154814 162305 182962 309628 324610 365924 387035 457405 649220 774070 914810 1006291 1548140 1829620 2012582 4025164 5031455 10062910 20125820