Search a number
-
+
20265648 = 2431347691
BaseRepresentation
bin100110101001…
…1101010110000
31102010121020120
41031103222300
520142000043
62002210240
7334153344
oct115235260
942117216
1020265648
1110491977
126953980
134277310
142997624
151ba4983
hex1353ab0

20265648 has 80 divisors (see below), whose sum is σ = 57662976. Its totient is φ = 6094080.

The previous prime is 20265629. The next prime is 20265667. The reversal of 20265648 is 84656202.

It is an interprime number because it is at equal distance from previous prime (20265629) and next prime (20265667).

It is a super-3 number, since 3×202656483 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28983 + ... + 29673.

Almost surely, 220265648 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 20265648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28831488).

20265648 is an abundant number, since it is smaller than the sum of its proper divisors (37397328).

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

20265648 is a wasteful number, since it uses less digits than its factorization.

20265648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 20265648 is about 4501.7383309117. The cubic root of 20265648 is about 272.6382790040.

The spelling of 20265648 in words is "twenty million, two hundred sixty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 47 48 52 78 94 104 141 156 188 208 282 312 376 564 611 624 691 752 1128 1222 1382 1833 2073 2256 2444 2764 3666 4146 4888 5528 7332 8292 8983 9776 11056 14664 16584 17966 26949 29328 32477 33168 35932 53898 64954 71864 97431 107796 129908 143728 194862 215592 259816 389724 422201 431184 519632 779448 844402 1266603 1558896 1688804 2533206 3377608 5066412 6755216 10132824 20265648