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20857296 = 24331107131
BaseRepresentation
bin100111110010…
…0000111010000
31110020122211110
41033210013100
520314413141
62023013320
7342166305
oct117440720
943218743
1020857296
1110856439
126b9a240
1344236c5
142aad0ac
151c6ee16
hex13e41d0

20857296 has 80 divisors (see below), whose sum is σ = 56567808. Its totient is φ = 6614400.

The previous prime is 20857247. The next prime is 20857313. The reversal of 20857296 is 69275802.

It is a happy number.

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, 159151 + ... + 159281.

Almost surely, 220857296 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 20857296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28283904).

20857296 is an abundant number, since it is smaller than the sum of its proper divisors (35710512).

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

20857296 is a wasteful number, since it uses less digits than its factorization.

20857296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 20857296 is about 4566.9788701066. The cubic root of 20857296 is about 275.2660609618.

The spelling of 20857296 in words is "twenty million, eight hundred fifty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 107 124 131 186 214 248 262 321 372 393 428 496 524 642 744 786 856 1048 1284 1488 1572 1712 2096 2568 3144 3317 4061 5136 6288 6634 8122 9951 12183 13268 14017 16244 19902 24366 26536 28034 32488 39804 42051 48732 53072 56068 64976 79608 84102 97464 112136 159216 168204 194928 224272 336408 434527 672816 869054 1303581 1738108 2607162 3476216 5214324 6952432 10428648 20857296