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1074561012 = 2233723292131
BaseRepresentation
bin100000000001100…
…0111111111110100
32202212222100121000
41000003013333310
54200041423022
6254343323300
735425421640
oct10003077764
92685870530
101074561012
1150161a658
1225ba50530
13141814a25
14a29d9c20
156450d6ac
hex400c7ff4

1074561012 has 192 divisors, whose sum is σ = 3438489600. Its totient is φ = 283409280.

The previous prime is 1074560987. The next prime is 1074561043. The reversal of 1074561012 is 2101654701.

It is a happy number.

1074561012 is a `hidden beast` number, since 1 + 0 + 7 + 45 + 610 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 503187 + ... + 505317.

It is an arithmetic number, because the mean of its divisors is an integer number (17908800).

Almost surely, 21074561012 is an apocalyptic number.

1074561012 is a gapful number since it is divisible by the number (12) 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 1074561012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719244800).

1074561012 is an abundant number, since it is smaller than the sum of its proper divisors (2363928588).

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

1074561012 is a wasteful number, since it uses less digits than its factorization.

1074561012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1074561012 is about 32780.4974336876. The cubic root of 1074561012 is about 1024.2603466546.

The spelling of 1074561012 in words is "one billion, seventy-four million, five hundred sixty-one thousand, twelve".