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20857356 = 223213411087
BaseRepresentation
bin100111110010…
…0001000001100
31110020122220200
41033210020030
520314413411
62023013500
7342166422
oct117441014
943218820
1020857356
1110856493
126b9a290
134423740
142aad112
151c6ee56
hex13e420c

20857356 has 72 divisors (see below), whose sum is σ = 58216704. Its totient is φ = 6255360.

The previous prime is 20857321. The next prime is 20857357. The reversal of 20857356 is 65375802.

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 20857356.

It is not an unprimeable number, because it can be changed into a prime (20857357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18645 + ... + 19731.

Almost surely, 220857356 is an apocalyptic number.

20857356 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20857356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29108352).

20857356 is an abundant number, since it is smaller than the sum of its proper divisors (37359348).

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

20857356 is a wasteful number, since it uses less digits than its factorization.

20857356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 20857356 is about 4566.9854389958. The cubic root of 20857356 is about 275.2663249134.

The spelling of 20857356 in words is "twenty million, eight hundred fifty-seven thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 117 123 156 164 234 246 369 468 492 533 738 1066 1087 1476 1599 2132 2174 3198 3261 4348 4797 6396 6522 9594 9783 13044 14131 19188 19566 28262 39132 42393 44567 56524 84786 89134 127179 133701 169572 178268 254358 267402 401103 508716 534804 579371 802206 1158742 1604412 1738113 2317484 3476226 5214339 6952452 10428678 20857356