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1074868704 = 2535731331
BaseRepresentation
bin100000000010001…
…0011000111100000
32202220112222200000
41000010103013200
54200131244304
6254354100000
735431143000
oct10004230740
92686488600
101074868704
1150180a848
1225bb7a600
131418c1ab0
14a2a7a000
156456e939
hex401131e0

1074868704 has 576 divisors, whose sum is σ = 4109414400. Its totient is φ = 274337280.

The previous prime is 1074868693. The next prime is 1074868723. The reversal of 1074868704 is 4078684701.

It is a self number, because there is not a number n which added to its sum of digits gives 1074868704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34673169 + ... + 34673199.

It is an arithmetic number, because the mean of its divisors is an integer number (7134400).

Almost surely, 21074868704 is an apocalyptic number.

1074868704 is a gapful number since it is divisible by the number (14) 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 1074868704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054707200).

1074868704 is an abundant number, since it is smaller than the sum of its proper divisors (3034545696).

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

1074868704 is an equidigital number, since it uses as much as digits as its factorization.

1074868704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 1074868704 is about 32785.1903151408. The cubic root of 1074868704 is about 1024.3581002597.

The spelling of 1074868704 in words is "one billion, seventy-four million, eight hundred sixty-eight thousand, seven hundred four".