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20271768 = 23311312477
BaseRepresentation
bin100110101010…
…1001010011000
31102010220122020
41031111022120
520142144033
62002254440
7334210236
oct115251230
942126566
1020271768
1110496530
126957420
13427a03a
142999956
151ba66b3
hex1355298

20271768 has 64 divisors (see below), whose sum is σ = 57093120. Its totient is φ = 5942400.

The previous prime is 20271749. The next prime is 20271793. The reversal of 20271768 is 86717202.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6946 + ... + 9422.

It is an arithmetic number, because the mean of its divisors is an integer number (892080).

Almost surely, 220271768 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 20271768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28546560).

20271768 is an abundant number, since it is smaller than the sum of its proper divisors (36821352).

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

20271768 is a wasteful number, since it uses less digits than its factorization.

20271768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 20271768 is about 4502.4180170215. The cubic root of 20271768 is about 272.6657208164.

The spelling of 20271768 in words is "twenty million, two hundred seventy-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2477 2728 4092 4954 7431 8184 9908 14862 19816 27247 29724 54494 59448 76787 81741 108988 153574 163482 217976 230361 307148 326964 460722 614296 653928 844657 921444 1689314 1842888 2533971 3378628 5067942 6757256 10135884 20271768