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20268352 = 2613171433
BaseRepresentation
bin100110101010…
…0010101000000
31102010201221201
41031110111000
520142041402
62002230544
7334164256
oct115242500
942121851
1020268352
1110493a05
126955454
134278610
1429985d6
151ba5687
hex1354540

20268352 has 56 divisors (see below), whose sum is σ = 45893736. Its totient is φ = 8798208.

The previous prime is 20268331. The next prime is 20268373. The reversal of 20268352 is 25386202.

It is an interprime number because it is at equal distance from previous prime (20268331) and next prime (20268373).

It can be written as a sum of positive squares in 4 ways, for example, as 5089536 + 15178816 = 2256^2 + 3896^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20268352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13428 + ... + 14860.

It is an arithmetic number, because the mean of its divisors is an integer number (819531).

Almost surely, 220268352 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 20268352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22946868).

20268352 is an abundant number, since it is smaller than the sum of its proper divisors (25625384).

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

20268352 is a wasteful number, since it uses less digits than its factorization.

20268352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 20268352 is about 4502.0386493232. The cubic root of 20268352 is about 272.6504043029.

The spelling of 20268352 in words is "twenty million, two hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1088 1433 1768 2866 3536 5732 7072 11464 14144 18629 22928 24361 37258 45856 48722 74516 91712 97444 149032 194888 298064 316693 389776 596128 633386 779552 1192256 1266772 1559104 2533544 5067088 10134176 20268352