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790064 = 2411672
BaseRepresentation
bin11000000111000110000
31111010202122
43000320300
5200240224
624533412
76500252
oct3007060
91433678
10790064
1149a650
12321268
132187c2
14167cd2
1510915e
hexc0e30

790064 has 30 divisors (see below), whose sum is σ = 1695204. Its totient is φ = 353760.

The previous prime is 790063. The next prime is 790087. The reversal of 790064 is 460097.

It is a super-2 number, since 2×7900642 = 1248402248192, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (790063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11759 + ... + 11825.

2790064 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 790064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847602).

790064 is an abundant number, since it is smaller than the sum of its proper divisors (905140).

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

790064 is a wasteful number, since it uses less digits than its factorization.

790064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 790064 is about 888.8554438152. The cubic root of 790064 is about 92.4458509470.

The spelling of 790064 in words is "seven hundred ninety thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 67 88 134 176 268 536 737 1072 1474 2948 4489 5896 8978 11792 17956 35912 49379 71824 98758 197516 395032 790064