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1042540416 = 27333137263
BaseRepresentation
bin111110001000111…
…110011110000000
32200122201112121000
4332020332132000
54113342243131
6251241132000
734556306301
oct7610763600
92618645530
101042540416
1149553a055
1225118a000
13137cb3128
149c6627a8
15617d5ce6
hex3e23e780

1042540416 has 256 divisors, whose sum is σ = 3274444800. Its totient is φ = 325969920.

The previous prime is 1042540409. The next prime is 1042540427. The reversal of 1042540416 is 6140452401.

1042540416 is a `hidden beast` number, since 104 + 2 + 540 + 4 + 16 = 666.

1042540416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1042540416.

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, 3963901 + ... + 3964163.

It is an arithmetic number, because the mean of its divisors is an integer number (12790800).

Almost surely, 21042540416 is an apocalyptic number.

1042540416 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 1042540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637222400).

1042540416 is an abundant number, since it is smaller than the sum of its proper divisors (2231904384).

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

1042540416 is a wasteful number, since it uses less digits than its factorization.

1042540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1042540416 is about 32288.3944475411. The cubic root of 1042540416 is about 1013.9836837821.

Adding to 1042540416 its reverse (6140452401), we get a palindrome (7182992817).

The spelling of 1042540416 in words is "one billion, forty-two million, five hundred forty thousand, four hundred sixteen".