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20845296 = 243373661
BaseRepresentation
bin100111110000…
…1001011110000
31110020001101000
41033201023300
520314022141
62022442000
7342116313
oct117411360
943201330
1020845296
111084841a
126b93300
13441b0c4
142aa897a
151c6b5b6
hex13e12f0

20845296 has 80 divisors (see below), whose sum is σ = 60745120. Its totient is φ = 6842880.

The previous prime is 20845277. The next prime is 20845327. The reversal of 20845296 is 69254802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20845296.

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, 31206 + ... + 31866.

It is an arithmetic number, because the mean of its divisors is an integer number (759314).

Almost surely, 220845296 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 20845296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30372560).

20845296 is an abundant number, since it is smaller than the sum of its proper divisors (39899824).

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

20845296 is a wasteful number, since it uses less digits than its factorization.

20845296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 20845296 is about 4565.6649022897. The cubic root of 20845296 is about 275.2132604706.

The spelling of 20845296 in words is "twenty million, eight hundred forty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 292 432 438 584 657 661 876 1168 1314 1322 1752 1971 1983 2628 2644 3504 3942 3966 5256 5288 5949 7884 7932 10512 10576 11898 15768 15864 17847 23796 31536 31728 35694 47592 48253 71388 95184 96506 142776 144759 193012 285552 289518 386024 434277 579036 772048 868554 1158072 1302831 1737108 2316144 2605662 3474216 5211324 6948432 10422648 20845296