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2050032300 = 2235240117041
BaseRepresentation
bin111101000110001…
…0000001010101100
312021212111102122020
41322030100022230
513144302013200
6535231150140
7101541662361
oct17214201254
95255442566
102050032300
1196220a678
12492675350
13268944384
141563a0468
15bee96ea0
hex7a3102ac

2050032300 has 72 divisors (see below), whose sum is σ = 5946567312. Its totient is φ = 545280000.

The previous prime is 2050032289. The next prime is 2050032337. The reversal of 2050032300 is 32300502.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2050032300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111780 + ... + 128820.

Almost surely, 22050032300 is an apocalyptic number.

2050032300 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 2050032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973283656).

2050032300 is an abundant number, since it is smaller than the sum of its proper divisors (3896535012).

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

2050032300 is a wasteful number, since it uses less digits than its factorization.

2050032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17459 (or 17452 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 2050032300 is about 45277.2823831113. The cubic root of 2050032300 is about 1270.3407645734.

Adding to 2050032300 its reverse (32300502), we get a palindrome (2082332802).

The spelling of 2050032300 in words is "two billion, fifty million, thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 401 802 1203 1604 2005 2406 4010 4812 6015 8020 10025 12030 17041 20050 24060 30075 34082 40100 51123 60150 68164 85205 102246 120300 170410 204492 255615 340820 426025 511230 852050 1022460 1278075 1704100 2556150 5112300 6833441 13666882 20500323 27333764 34167205 41000646 68334410 82001292 102501615 136668820 170836025 205003230 341672050 410006460 512508075 683344100 1025016150 2050032300