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2032070976 = 26351319232
BaseRepresentation
bin111100100011110…
…1111000101000000
312020121200220100000
41321013233011000
513130202232401
6533350200000
7101233214115
oct17107570500
95217626300
102032070976
11953062001
12488653000
13264cc5b80
14153c4690c
15bd5ea186
hex791ef140

2032070976 has 504 divisors, whose sum is σ = 7157943520. Its totient is φ = 566590464.

The previous prime is 2032070947. The next prime is 2032070981. The reversal of 2032070976 is 6790702302.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2032070976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88350901 + ... + 88350923.

Almost surely, 22032070976 is an apocalyptic number.

2032070976 is a gapful number since it is divisible by the number (26) 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 2032070976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578971760).

2032070976 is an abundant number, since it is smaller than the sum of its proper divisors (5125872544).

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

2032070976 is a wasteful number, since it uses less digits than its factorization.

2032070976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 2032070976 is about 45078.4979341593. The cubic root of 2032070976 is about 1266.6198532407.

The spelling of 2032070976 in words is "two billion, thirty-two million, seventy thousand, nine hundred seventy-six".