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2140695936 = 27324161743
BaseRepresentation
bin111111110011000…
…0110110110000000
312112012002121202200
41333212012312000
513341004232221
6552230313200
7104022421011
oct17746066600
95465077680
102140695936
119a94045a5
124b8ab8800
132816693b2
14164441008
15c7e05426
hex7f986d80

2140695936 has 192 divisors, whose sum is σ = 6422401440. Its totient is φ = 683827200.

The previous prime is 2140695899. The next prime is 2140695941. The reversal of 2140695936 is 6395960412.

2140695936 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 2140695891 and 2140695900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2880781 + ... + 2881523.

Almost surely, 22140695936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140695936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211200720).

2140695936 is an abundant number, since it is smaller than the sum of its proper divisors (4281705504).

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

2140695936 is a wasteful number, since it uses less digits than its factorization.

2140695936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2140695936 is about 46267.6553976966. The cubic root of 2140695936 is about 1288.7984196155.

The spelling of 2140695936 in words is "two billion, one hundred forty million, six hundred ninety-five thousand, nine hundred thirty-six".