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6407064 = 2332235373
BaseRepresentation
bin11000011100001110011000
3110001111211200
4120130032120
53120011224
6345154200
7105313326
oct30341630
913044750
106407064
1136867a4
12218b960
131434381
14bcad16
158685c9
hex61c398

6407064 has 96 divisors (see below), whose sum is σ = 18701280. Its totient is φ = 1976832.

The previous prime is 6407039. The next prime is 6407069. The reversal of 6407064 is 4607046.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6407069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87732 + ... + 87804.

It is an arithmetic number, because the mean of its divisors is an integer number (194805).

Almost surely, 26407064 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 6407064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9350640).

6407064 is an abundant number, since it is smaller than the sum of its proper divisors (12294216).

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

6407064 is a wasteful number, since it uses less digits than its factorization.

6407064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6407064 is about 2531.2178886852. The cubic root of 6407064 is about 185.7318369437.

The spelling of 6407064 in words is "six million, four hundred seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 53 69 72 73 92 106 138 146 159 184 207 212 219 276 292 318 414 424 438 477 552 584 636 657 828 876 954 1219 1272 1314 1656 1679 1752 1908 2438 2628 3358 3657 3816 3869 4876 5037 5256 6716 7314 7738 9752 10074 10971 11607 13432 14628 15111 15476 20148 21942 23214 29256 30222 30952 34821 40296 43884 46428 60444 69642 87768 88987 92856 120888 139284 177974 266961 278568 355948 533922 711896 800883 1067844 1601766 2135688 3203532 6407064