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1074359104 = 26721319273
BaseRepresentation
bin100000000001001…
…0110101101000000
32202212121002121221
41000002112231000
54200013442404
6254335124424
735423621200
oct10002265500
92685532557
101074359104
115014a1995
1225b973714
13141773b60
14a2986400
15644bd954
hex40096b40

1074359104 has 252 divisors, whose sum is σ = 2857349124. Its totient is φ = 397135872.

The previous prime is 1074359101. The next prime is 1074359107. The reversal of 1074359104 is 4019534701.

It is an interprime number because it is at equal distance from previous prime (1074359101) and next prime (1074359107).

It can be written as a sum of positive squares in 2 ways, for example, as 366799104 + 707560000 = 19152^2 + 26600^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1074359104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074359101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14717212 + ... + 14717284.

It is an arithmetic number, because the mean of its divisors is an integer number (11338687).

Almost surely, 21074359104 is an apocalyptic number.

1074359104 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 1074359104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428674562).

1074359104 is an abundant number, since it is smaller than the sum of its proper divisors (1782990020).

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

1074359104 is a wasteful number, since it uses less digits than its factorization.

1074359104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 1074359104 is about 32777.4175919946. The cubic root of 1074359104 is about 1024.1961904364.

The spelling of 1074359104 in words is "one billion, seventy-four million, three hundred fifty-nine thousand, one hundred four".