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20257146 = 23271383149
BaseRepresentation
bin100110101000…
…1100101111010
31102010011120200
41031101211322
520141212041
62002103030
7334116510
oct115214572
942104520
1020257146
1110486548
12694aa76
1342734a0
1429944b0
151ba21b6
hex135197a

20257146 has 96 divisors (see below), whose sum is σ = 55036800. Its totient is φ = 5242752.

The previous prime is 20257121. The next prime is 20257163. The reversal of 20257146 is 64175202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135880 + ... + 136028.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 220257146 is an apocalyptic number.

20257146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20257146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27518400).

20257146 is an abundant number, since it is smaller than the sum of its proper divisors (34779654).

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

20257146 is a wasteful number, since it uses less digits than its factorization.

20257146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 20257146 is about 4500.7939299639. The cubic root of 20257146 is about 272.6001472375.

The spelling of 20257146 in words is "twenty million, two hundred fifty-seven thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 83 91 117 126 149 166 182 234 249 273 298 447 498 546 581 747 819 894 1043 1079 1162 1341 1494 1638 1743 1937 2086 2158 2682 3129 3237 3486 3874 5229 5811 6258 6474 7553 9387 9711 10458 11622 12367 13559 15106 17433 18774 19422 22659 24734 27118 34866 37101 40677 45318 67977 74202 81354 86569 111303 122031 135954 160771 173138 222606 244062 259707 321542 482313 519414 779121 964626 1125397 1446939 1558242 2250794 2893878 3376191 6752382 10128573 20257146