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20099600 = 2452109461
BaseRepresentation
bin100110010101…
…1001000010000
31101211011110122
41030223020100
520121141400
61554445412
7332562263
oct114531020
941734418
1020099600
1110389144
126893868
134219871
142952cda
151b70685
hex132b210

20099600 has 60 divisors (see below), whose sum is σ = 48838020. Its totient is φ = 7948800.

The previous prime is 20099567. The next prime is 20099617. The reversal of 20099600 is 699002.

It can be written as a sum of positive squares in 6 ways, for example, as 350464 + 19749136 = 592^2 + 4444^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20099600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43370 + ... + 43830.

It is an arithmetic number, because the mean of its divisors is an integer number (813967).

Almost surely, 220099600 is an apocalyptic number.

20099600 is a gapful number since it is divisible by the number (20) 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 20099600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24419010).

20099600 is an abundant number, since it is smaller than the sum of its proper divisors (28738420).

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

20099600 is a wasteful number, since it uses less digits than its factorization.

20099600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 20099600 is about 4483.2577440964. The cubic root of 20099600 is about 271.8916090615.

The spelling of 20099600 in words is "twenty million, ninety-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 109 200 218 400 436 461 545 872 922 1090 1744 1844 2180 2305 2725 3688 4360 4610 5450 7376 8720 9220 10900 11525 18440 21800 23050 36880 43600 46100 50249 92200 100498 184400 200996 251245 401992 502490 803984 1004980 1256225 2009960 2512450 4019920 5024900 10049800 20099600