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2070250560 = 263257103997
BaseRepresentation
bin111101101100101…
…1000010001000000
312100021112121212200
41323121120101000
513214441004220
6541232353200
7102205560630
oct17331302100
95307477780
102070250560
11972669984
124993a5800
1326cba2c41
14158d446c0
15c1b3c890
hex7b658440

2070250560 has 336 divisors, whose sum is σ = 8225308416. Its totient is φ = 468135936.

The previous prime is 2070250459. The next prime is 2070250561. The reversal of 2070250560 is 650520702.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (2070250561) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2075982 + ... + 2076978.

Almost surely, 22070250560 is an apocalyptic number.

2070250560 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 2070250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112654208).

2070250560 is an abundant number, since it is smaller than the sum of its proper divisors (6155057856).

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

2070250560 is a wasteful number, since it uses less digits than its factorization.

2070250560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2070250560 is about 45500.0061538457. The cubic root of 2070250560 is about 1274.5033174973.

The spelling of 2070250560 in words is "two billion, seventy million, two hundred fifty thousand, five hundred sixty".