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2076916140 = 223551371463
BaseRepresentation
bin111101111001011…
…0011100110101100
312100202002021100000
41323302303212230
513223142304030
6542031304300
7102316332045
oct17362634654
95322067300
102076916140
11976401922
1249b67b090
13271397b80
14159b9b8cc
15c2507860
hex7bcb39ac

2076916140 has 288 divisors, whose sum is σ = 7150381056. Its totient is φ = 502951680.

The previous prime is 2076916139. The next prime is 2076916147. The reversal of 2076916140 is 416196702.

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

It is a junction number, because it is equal to n+sod(n) for n = 2076916095 and 2076916104.

It is not an unprimeable number, because it can be changed into a prime (2076916147) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4485549 + ... + 4486011.

It is an arithmetic number, because the mean of its divisors is an integer number (24827712).

Almost surely, 22076916140 is an apocalyptic number.

2076916140 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 2076916140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575190528).

2076916140 is an abundant number, since it is smaller than the sum of its proper divisors (5073464916).

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

2076916140 is a wasteful number, since it uses less digits than its factorization.

2076916140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2076916140 is about 45573.1954113380. The cubic root of 2076916140 is about 1275.8696903776.

The spelling of 2076916140 in words is "two billion, seventy-six million, nine hundred sixteen thousand, one hundred forty".