Search a number
-
+
1140078940 = 22571121331167
BaseRepresentation
bin100001111110100…
…0011100101011100
32221110021000021221
41003331003211130
54313330011230
6305043503124
740152340210
oct10375034534
92843230257
101140078940
115355aa200
12279987aa4
13152274430
14ab5b2940
156a15127a
hex43f4395c

1140078940 has 288 divisors, whose sum is σ = 3363397632. Its totient is φ = 315532800.

The previous prime is 1140078937. The next prime is 1140078949. The reversal of 1140078940 is 498700411.

It is a junction number, because it is equal to n+sod(n) for n = 1140078896 and 1140078905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140078949) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6826737 + ... + 6826903.

It is an arithmetic number, because the mean of its divisors is an integer number (11678464).

Almost surely, 21140078940 is an apocalyptic number.

1140078940 is a gapful number since it is divisible by the number (10) 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 1140078940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681698816).

1140078940 is an abundant number, since it is smaller than the sum of its proper divisors (2223318692).

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

1140078940 is a wasteful number, since it uses less digits than its factorization.

1140078940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 1140078940 is about 33765.0550125422. The cubic root of 1140078940 is about 1044.6680386025.

The spelling of 1140078940 in words is "one billion, one hundred forty million, seventy-eight thousand, nine hundred forty".