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20793232 = 2429411093
BaseRepresentation
bin100111101010…
…0011110010000
31110010101221201
41033110132100
520310340412
62021400544
7341511445
oct117243620
943111851
1020793232
1110812299
126b69154
1344004b5
142a939cc
151c5ae57
hex13d4790

20793232 has 40 divisors (see below), whose sum is σ = 42731640. Its totient is φ = 9784320.

The previous prime is 20793221. The next prime is 20793233. The reversal of 20793232 is 23239702.

It can be written as a sum of positive squares in 4 ways, for example, as 4016016 + 16777216 = 2004^2 + 4096^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20793232.

It is not an unprimeable number, because it can be changed into a prime (20793233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18478 + ... + 19570.

It is an arithmetic number, because the mean of its divisors is an integer number (1068291).

Almost surely, 220793232 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 20793232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21365820).

20793232 is an abundant number, since it is smaller than the sum of its proper divisors (21938408).

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

20793232 is a wasteful number, since it uses less digits than its factorization.

20793232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 20793232 is about 4559.9596489443. The cubic root of 20793232 is about 274.9839417620.

It can be divided in two parts, 20793 and 232, that added together give a square (21025 = 1452).

The spelling of 20793232 in words is "twenty million, seven hundred ninety-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 29 41 58 82 116 164 232 328 464 656 1093 1189 2186 2378 4372 4756 8744 9512 17488 19024 31697 44813 63394 89626 126788 179252 253576 358504 507152 717008 1299577 2599154 5198308 10396616 20793232