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20125620 = 22325176577
BaseRepresentation
bin100110011000…
…1011110110100
31101212111011100
41030301132310
520123004440
61555210100
7333031164
oct114613664
941774140
1020125620
11103a6749
1268a6930
134228668
14295c5a4
151b78230
hex13317b4

20125620 has 72 divisors (see below), whose sum is σ = 64648584. Its totient is φ = 5050368.

The previous prime is 20125613. The next prime is 20125627. The reversal of 20125620 is 2652102.

20125620 is a `hidden beast` number, since 20 + 1 + 25 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (20125613) and next prime (20125627).

It can be written as a sum of positive squares in 4 ways, for example, as 10614564 + 9511056 = 3258^2 + 3084^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20125593 and 20125602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20125627) 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 23 ways as a sum of consecutive naturals, for example, 229 + ... + 6348.

It is an arithmetic number, because the mean of its divisors is an integer number (897897).

Almost surely, 220125620 is an apocalyptic number.

20125620 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 20125620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32324292).

20125620 is an abundant number, since it is smaller than the sum of its proper divisors (44522964).

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

20125620 is a wasteful number, since it uses less digits than its factorization.

20125620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6609 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20125620 is about 4486.1587131977. The cubic root of 20125620 is about 272.0088845137.

Adding to 20125620 its reverse (2652102), we get a palindrome (22777722).

The spelling of 20125620 in words is "twenty million, one hundred twenty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 6577 13154 19731 26308 32885 39462 59193 65770 78924 98655 111809 118386 131540 197310 223618 236772 295965 335427 394620 447236 559045 591930 670854 1006281 1118090 1183860 1341708 1677135 2012562 2236180 3354270 4025124 5031405 6708540 10062810 20125620