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20597248 = 2972821
BaseRepresentation
bin100111010010…
…0101000000000
31102202110010001
41032210220000
520233102443
62013245344
7340034200
oct116445000
942673101
1020597248
1110699021
126a93854
134362229
142a42400
151c1cd4d
hex13a4a00

20597248 has 60 divisors (see below), whose sum is σ = 47931642. Its totient is φ = 8816640.

The previous prime is 20597209. The next prime is 20597267. The reversal of 20597248 is 84279502.

It can be written as a sum of positive squares in only one way, i.e., 19079424 + 1517824 = 4368^2 + 1232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24678 + ... + 25498.

Almost surely, 220597248 is an apocalyptic number.

20597248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20597248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23965821).

20597248 is an abundant number, since it is smaller than the sum of its proper divisors (27334394).

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

20597248 is an frugal number, since it uses more digits than its factorization.

20597248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 20597248 is about 4538.4191080155. The cubic root of 20597248 is about 274.1172709160.

The spelling of 20597248 in words is "twenty million, five hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 821 896 1568 1642 1792 3136 3284 3584 5747 6272 6568 11494 12544 13136 22988 25088 26272 40229 45976 52544 80458 91952 105088 160916 183904 210176 321832 367808 420352 643664 735616 1287328 1471232 2574656 2942464 5149312 10298624 20597248