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6400704 = 263173753
BaseRepresentation
bin11000011010101011000000
3110001012010010
4120122223000
53114310304
6345104520
7105255642
oct30325300
913035103
106400704
113681a42
122188140
1314314cb
14bc8892
15866789
hex61aac0

6400704 has 112 divisors (see below), whose sum is σ = 18763488. Its totient is φ = 1916928.

The previous prime is 6400697. The next prime is 6400717. The reversal of 6400704 is 4070046.

6400704 is a modest number, since divided by 704 gives 640 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120742 + ... + 120794.

Almost surely, 26400704 is an apocalyptic number.

6400704 is a gapful number since it is divisible by the number (64) 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 6400704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9381744).

6400704 is an abundant number, since it is smaller than the sum of its proper divisors (12362784).

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

6400704 is a wasteful number, since it uses less digits than its factorization.

6400704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 6400704 is about 2529.9612645256. The cubic root of 6400704 is about 185.6703607585.

The spelling of 6400704 in words is "six million, four hundred thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 53 64 68 74 96 102 106 111 136 148 159 192 204 212 222 272 296 318 408 424 444 544 592 629 636 816 848 888 901 1088 1184 1258 1272 1632 1696 1776 1802 1887 1961 2368 2516 2544 2703 3264 3392 3552 3604 3774 3922 5032 5088 5406 5883 7104 7208 7548 7844 10064 10176 10812 11766 14416 15096 15688 20128 21624 23532 28832 30192 31376 33337 40256 43248 47064 57664 60384 62752 66674 86496 94128 100011 120768 125504 133348 172992 188256 200022 266696 376512 400044 533392 800088 1066784 1600176 2133568 3200352 6400704