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20278656 = 273229607
BaseRepresentation
bin100110101011…
…0110110000000
31102011021002100
41031112312000
520142404111
62002350400
7334236306
oct115266600
942137070
1020278656
11104a0722
12695b400
134280208
14299c276
151ba8756
hex1356d80

20278656 has 96 divisors (see below), whose sum is σ = 60465600. Its totient is φ = 6515712.

The previous prime is 20278651. The next prime is 20278673. The reversal of 20278656 is 65687202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×202786562 = 822447778332672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20278656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20278651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33105 + ... + 33711.

It is an arithmetic number, because the mean of its divisors is an integer number (629850).

Almost surely, 220278656 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 20278656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30232800).

20278656 is an abundant number, since it is smaller than the sum of its proper divisors (40186944).

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

20278656 is a wasteful number, since it uses less digits than its factorization.

20278656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 20278656 is about 4503.1828743679. The cubic root of 20278656 is about 272.6965997019.

The spelling of 20278656 in words is "twenty million, two hundred seventy-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 607 696 928 1044 1152 1214 1392 1821 1856 2088 2428 2784 3642 3712 4176 4856 5463 5568 7284 8352 9712 10926 11136 14568 16704 17603 19424 21852 29136 33408 35206 38848 43704 52809 58272 70412 77696 87408 105618 116544 140824 158427 174816 211236 233088 281648 316854 349632 422472 563296 633708 699264 844944 1126592 1267416 1689888 2253184 2534832 3379776 5069664 6759552 10139328 20278656