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2059288140 = 2235713419199
BaseRepresentation
bin111101010111110…
…0011111001001100
312022111220200021010
41322233203321030
513204134210030
6540201405220
7102013442340
oct17257437114
95274820233
102059288140
11967461728
12495799810
1326a8352c0
141576cd620
15c0bc46b0
hex7abe3e4c

2059288140 has 192 divisors, whose sum is σ = 7270502400. Its totient is φ = 423843840.

The previous prime is 2059288139. The next prime is 2059288163. The reversal of 2059288140 is 418829502.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219261 + ... + 228459.

It is an arithmetic number, because the mean of its divisors is an integer number (37867200).

Almost surely, 22059288140 is an apocalyptic number.

2059288140 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 2059288140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635251200).

2059288140 is an abundant number, since it is smaller than the sum of its proper divisors (5211214260).

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

2059288140 is a wasteful number, since it uses less digits than its factorization.

2059288140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9272 (or 9270 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 2059288140 is about 45379.3801191687. The cubic root of 2059288140 is about 1272.2497457678.

The spelling of 2059288140 in words is "two billion, fifty-nine million, two hundred eighty-eight thousand, one hundred forty".