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20531648 = 2617113167
BaseRepresentation
bin100111001010…
…0100111000000
31102122010010102
41032110213000
520224003043
62012021532
7336342014
oct116244700
942563112
1020531648
1110653805
126a618a8
13433b407
142a26544
151c086b8
hex13949c0

20531648 has 56 divisors (see below), whose sum is σ = 43781472. Its totient is φ = 9519104.

The previous prime is 20531603. The next prime is 20531657. The reversal of 20531648 is 84613502.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20531648.

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, 122861 + ... + 123027.

It is an arithmetic number, because the mean of its divisors is an integer number (781812).

Almost surely, 220531648 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 20531648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21890736).

20531648 is an abundant number, since it is smaller than the sum of its proper divisors (23249824).

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

20531648 is a wasteful number, since it uses less digits than its factorization.

20531648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 20531648 is about 4531.1861581709. The cubic root of 20531648 is about 273.8259501667.

The spelling of 20531648 in words is "twenty million, five hundred thirty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 113 136 167 226 272 334 452 544 668 904 1088 1336 1808 1921 2672 2839 3616 3842 5344 5678 7232 7684 10688 11356 15368 18871 22712 30736 37742 45424 61472 75484 90848 122944 150968 181696 301936 320807 603872 641614 1207744 1283228 2566456 5132912 10265824 20531648