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7830064 = 2411172617
BaseRepresentation
bin11101110111101000110000
3112201210211101
4131313220300
54001030224
6435454144
7123361114
oct35675060
915653741
107830064
114468930
122757354
131811c98
14107b744
15a4a044
hex777a30

7830064 has 40 divisors (see below), whose sum is σ = 17530128. Its totient is φ = 3348480.

The previous prime is 7830041. The next prime is 7830077. The reversal of 7830064 is 4600387.

It is a super-2 number, since 2×78300642 = 122619804488192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1684 + ... + 4300.

Almost surely, 27830064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7830064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8765064).

7830064 is an abundant number, since it is smaller than the sum of its proper divisors (9700064).

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

7830064 is a wasteful number, since it uses less digits than its factorization.

7830064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 7830064 is about 2798.2251517703. The cubic root of 7830064 is about 198.5737194646.

The spelling of 7830064 in words is "seven million, eight hundred thirty thousand, sixty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 2617 2992 5234 10468 20936 28787 41872 44489 57574 88978 115148 177956 230296 355912 460592 489379 711824 978758 1957516 3915032 7830064