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1143891936 = 253311235233
BaseRepresentation
bin100010000101110…
…0110011111100000
32221201102201202000
41010023212133200
54320314020221
6305301324000
740226630625
oct10413463740
92851381660
101143891936
11537773a40
1227b106600
13152caab45
14abcc634c
156a655e26
hex442e67e0

1143891936 has 192 divisors, whose sum is σ = 3798627840. Its totient is φ = 331499520.

The previous prime is 1143891883. The next prime is 1143891949. The reversal of 1143891936 is 6391983411.

It is a super-2 number, since 2×11438919362 = 2616977522491656192, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1143891891 and 1143891900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215976 + ... + 221208.

It is an arithmetic number, because the mean of its divisors is an integer number (19784520).

Almost surely, 21143891936 is an apocalyptic number.

1143891936 is a gapful number since it is divisible by the number (16) 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 1143891936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899313920).

1143891936 is an abundant number, since it is smaller than the sum of its proper divisors (2654735904).

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

1143891936 is a wasteful number, since it uses less digits than its factorization.

1143891936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5286 (or 5272 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 1143891936 is about 33821.4715232794. The cubic root of 1143891936 is about 1045.8313739971.

The spelling of 1143891936 in words is "one billion, one hundred forty-three million, eight hundred ninety-one thousand, nine hundred thirty-six".