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20152656 = 2432349401
BaseRepresentation
bin100110011100…
…0000101010000
31101220212020200
41030320011100
520124341111
61555535200
7333203046
oct114700520
941825220
1020152656
1110414a97
1268ba500
134237a64
142968396
151b81256
hex1338150

20152656 has 60 divisors (see below), whose sum is σ = 56702100. Its totient is φ = 6681600.

The previous prime is 20152621. The next prime is 20152703. The reversal of 20152656 is 65625102.

20152656 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 2 + 656 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18147600 + 2005056 = 4260^2 + 1416^2 .

It is a super-2 number, since 2×201526562 = 812259087708672, 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 11 ways as a sum of consecutive naturals, for example, 50056 + ... + 50456.

It is an arithmetic number, because the mean of its divisors is an integer number (945035).

Almost surely, 220152656 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 20152656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28351050).

20152656 is an abundant number, since it is smaller than the sum of its proper divisors (36549444).

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

20152656 is a wasteful number, since it uses less digits than its factorization.

20152656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 20152656 is about 4489.1709702349. The cubic root of 20152656 is about 272.1306321769.

Adding to 20152656 its reverse (65625102), we get a palindrome (85777758).

The spelling of 20152656 in words is "twenty million, one hundred fifty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 349 401 698 802 1047 1203 1396 1604 2094 2406 2792 3141 3208 3609 4188 4812 5584 6282 6416 7218 8376 9624 12564 14436 16752 19248 25128 28872 50256 57744 139949 279898 419847 559796 839694 1119592 1259541 1679388 2239184 2519082 3358776 5038164 6717552 10076328 20152656