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20705792 = 29371093
BaseRepresentation
bin100111011111…
…1001000000000
31102221222000012
41032333020000
520300041132
62015444052
7340665512
oct116771000
942858005
1020705792
1110762628
126b26628
13439c763
142a6dbb2
151c400b2
hex13bf200

20705792 has 40 divisors (see below), whose sum is σ = 42528156. Its totient is φ = 10063872.

The previous prime is 20705791. The next prime is 20705809. The reversal of 20705792 is 29750702.

It can be written as a sum of positive squares in 2 ways, for example, as 14868736 + 5837056 = 3856^2 + 2416^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (20705791) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 18398 + ... + 19490.

Almost surely, 220705792 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 20705792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21264078).

20705792 is an abundant number, since it is smaller than the sum of its proper divisors (21822364).

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

20705792 is an equidigital number, since it uses as much as digits as its factorization.

20705792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 20705792 is about 4550.3617438617. The cubic root of 20705792 is about 274.5979447053.

The spelling of 20705792 in words is "twenty million, seven hundred five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1093 1184 2186 2368 4372 4736 8744 9472 17488 18944 34976 40441 69952 80882 139904 161764 279808 323528 559616 647056 1294112 2588224 5176448 10352896 20705792