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1139812960 = 2551113311607
BaseRepresentation
bin100001111110000…
…0010101001100000
32221102202111102211
41003330002221200
54313243003320
6305034051504
740150151566
oct10374025140
92842674384
101139812960
11535438390
12279879b94
131521b0350
14ab543a36
156a0ec55a
hex43f02a60

1139812960 has 192 divisors, whose sum is σ = 3267661824. Its totient is φ = 370022400.

The previous prime is 1139812951. The next prime is 1139812969. The reversal of 1139812960 is 692189311.

It is an interprime number because it is at equal distance from previous prime (1139812951) and next prime (1139812969).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1139812969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708477 + ... + 710083.

It is an arithmetic number, because the mean of its divisors is an integer number (17019072).

Almost surely, 21139812960 is an apocalyptic number.

1139812960 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 1139812960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633830912).

1139812960 is an abundant number, since it is smaller than the sum of its proper divisors (2127848864).

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

1139812960 is a wasteful number, since it uses less digits than its factorization.

1139812960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 1139812960 is about 33761.1160952952. The cubic root of 1139812960 is about 1044.5867920601.

The spelling of 1139812960 in words is "one billion, one hundred thirty-nine million, eight hundred twelve thousand, nine hundred sixty".