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1330826112 = 27347111667
BaseRepresentation
bin100111101010010…
…1100101110000000
310102202011222020000
41033110230232000
510211142413422
6340020120000
744656556340
oct11724545600
93382158200
101330826112
116232423a0
12311836000
1318293bc95
14c8a66d20
157bc7dcac
hex4f52cb80

1330826112 has 320 divisors, whose sum is σ = 4940749440. Its totient is φ = 345461760.

The previous prime is 1330826111. The next prime is 1330826149. The reversal of 1330826112 is 2116280331.

It is a happy number.

1330826112 is a `hidden beast` number, since 13 + 30 + 8 + 2 + 611 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330826111) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 797503 + ... + 799169.

It is an arithmetic number, because the mean of its divisors is an integer number (15439842).

Almost surely, 21330826112 is an apocalyptic number.

1330826112 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 1330826112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470374720).

1330826112 is an abundant number, since it is smaller than the sum of its proper divisors (3609923328).

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

1330826112 is a wasteful number, since it uses less digits than its factorization.

1330826112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1330826112 is about 36480.4894704005. The cubic root of 1330826112 is about 1099.9520948835.

The spelling of 1330826112 in words is "one billion, three hundred thirty million, eight hundred twenty-six thousand, one hundred twelve".