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2069020800 = 273352711311
BaseRepresentation
bin111101101010010…
…1100000010000000
312100012020010222000
41323110230002000
513214132131200
6541150144000
7102162246420
oct17324540200
95305203860
102069020800
119719a9a50
12498ab2000
1326c862282
14158b04480
15c1998300
hex7b52c080

2069020800 has 768 divisors, whose sum is σ = 9470822400. Its totient is φ = 428544000.

The previous prime is 2069020741. The next prime is 2069020813. The reversal of 2069020800 is 80209602.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6652645 + ... + 6652955.

It is an arithmetic number, because the mean of its divisors is an integer number (12331800).

Almost surely, 22069020800 is an apocalyptic number.

2069020800 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 2069020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4735411200).

2069020800 is an abundant number, since it is smaller than the sum of its proper divisors (7401801600).

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

2069020800 is a wasteful number, since it uses less digits than its factorization.

2069020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2069020800 is about 45486.4903020666. The cubic root of 2069020800 is about 1274.2509094600.

The spelling of 2069020800 in words is "two billion, sixty-nine million, twenty thousand, eight hundred".