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2076156960 = 253517436197
BaseRepresentation
bin111101110111111…
…1010010000100000
312100200122200221020
41323233322100200
513222444010320
6542003125440
7102310020513
oct17357722040
95320580836
102076156960
11975a334a9
1249b373880
13271190457
14159a40d7a
15c2407940
hex7bbfa420

2076156960 has 384 divisors, whose sum is σ = 7276034304. Its totient is φ = 495452160.

The previous prime is 2076156931. The next prime is 2076156967. The reversal of 2076156960 is 696516702.

It is not an unprimeable number, because it can be changed into a prime (2076156967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21403632 + ... + 21403728.

It is an arithmetic number, because the mean of its divisors is an integer number (18948006).

Almost surely, 22076156960 is an apocalyptic number.

2076156960 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 2076156960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638017152).

2076156960 is an abundant number, since it is smaller than the sum of its proper divisors (5199877344).

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

2076156960 is a wasteful number, since it uses less digits than its factorization.

2076156960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 2076156960 is about 45564.8654118500. The cubic root of 2076156960 is about 1275.7142142244.

The spelling of 2076156960 in words is "two billion, seventy-six million, one hundred fifty-six thousand, nine hundred sixty".