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20265972 = 22317412423
BaseRepresentation
bin100110101001…
…1101111110100
31102010121200120
41031103233310
520142002342
62002211540
7334154316
oct115235764
942117616
1020265972
1110492141
126953bb0
1342774cc
1429977b6
151ba4aec
hex1353bf4

20265972 has 48 divisors (see below), whose sum is σ = 51311232. Its totient is φ = 6200320.

The previous prime is 20265941. The next prime is 20265997. The reversal of 20265972 is 27956202.

It is a happy number.

It is a super-2 number, since 2×202659722 = 821419242209568, which contains 22 as substring.

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, 7153 + ... + 9575.

It is an arithmetic number, because the mean of its divisors is an integer number (1068984).

Almost surely, 220265972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20265972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25655616).

20265972 is an abundant number, since it is smaller than the sum of its proper divisors (31045260).

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

20265972 is a wasteful number, since it uses less digits than its factorization.

20265972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 20265972 is about 4501.7743168666. The cubic root of 20265972 is about 272.6397319443.

The spelling of 20265972 in words is "twenty million, two hundred sixty-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 492 697 1394 2091 2423 2788 4182 4846 7269 8364 9692 14538 29076 41191 82382 99343 123573 164764 198686 247146 298029 397372 494292 596058 1192116 1688831 3377662 5066493 6755324 10132986 20265972