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1028560200 = 233525772971
BaseRepresentation
bin111101010011101…
…001010101001000
32122200102021100020
4331103221111020
54101302411300
6250021340440
734326421533
oct7523512510
92580367306
101028560200
11488660558
12248567720
13135129a05
149a863a1a
15604738a0
hex3d4e9548

1028560200 has 96 divisors (see below), whose sum is σ = 3195137760. Its totient is φ = 273715200.

The previous prime is 1028560199. The next prime is 1028560201. The reversal of 1028560200 is 20658201.

1028560200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1028560199) and next prime (1028560201).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1028560201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344715 + ... + 347685.

It is an arithmetic number, because the mean of its divisors is an integer number (33282685).

Almost surely, 21028560200 is an apocalyptic number.

1028560200 is a gapful number since it is divisible by the number (10) 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 1028560200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597568880).

1028560200 is an abundant number, since it is smaller than the sum of its proper divisors (2166577560).

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

1028560200 is a wasteful number, since it uses less digits than its factorization.

1028560200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1028560200 is about 32071.1739728997. The cubic root of 1028560200 is about 1009.4308462106.

The spelling of 1028560200 in words is "one billion, twenty-eight million, five hundred sixty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 577 600 1154 1731 2308 2885 2971 3462 4616 5770 5942 6924 8655 8913 11540 11884 13848 14425 14855 17310 17826 23080 23768 28850 29710 34620 35652 43275 44565 57700 59420 69240 71304 74275 86550 89130 115400 118840 148550 173100 178260 222825 297100 346200 356520 445650 594200 891300 1714267 1782600 3428534 5142801 6857068 8571335 10285602 13714136 17142670 20571204 25714005 34285340 41142408 42856675 51428010 68570680 85713350 102856020 128570025 171426700 205712040 257140050 342853400 514280100 1028560200