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20277312 = 263119601
BaseRepresentation
bin100110101011…
…0100001000000
31102011012020120
41031112201000
520142333222
62002340240
7334232346
oct115264100
942135216
1020277312
111049a710
12695a680
13427c713
14299b996
151ba815c
hex1356840

20277312 has 56 divisors (see below), whose sum is σ = 58533792. Its totient is φ = 6144000.

The previous prime is 20277287. The next prime is 20277319. The reversal of 20277312 is 21377202.

It is a super-2 number, since 2×202773122 = 822338763890688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20277319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2689 + ... + 6912.

Almost surely, 220277312 is an apocalyptic number.

20277312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20277312 is an abundant number, since it is smaller than the sum of its proper divisors (38256480).

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

20277312 is a wasteful number, since it uses less digits than its factorization.

20277312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9627 (or 9617 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 20277312 is about 4503.0336441115. The cubic root of 20277312 is about 272.6905751027.

It can be divided in two parts, 2027 and 7312, that added together give a palindrome (9339).

The spelling of 20277312 in words is "twenty million, two hundred seventy-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 9601 19202 28803 38404 57606 76808 105611 115212 153616 211222 230424 307232 316833 422444 460848 614464 633666 844888 921696 1267332 1689776 1843392 2534664 3379552 5069328 6759104 10138656 20277312