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6405696 = 263311337
BaseRepresentation
bin11000011011111001000000
3110001102222000
4120123321000
53114440241
6345144000
7105306333
oct30337100
913042860
106405696
113685770
12218b000
13143386b
14bca61a
15867eb6
hex61be40

6405696 has 112 divisors (see below), whose sum is σ = 20604480. Its totient is φ = 1935360.

The previous prime is 6405653. The next prime is 6405701. The reversal of 6405696 is 6965046.

It is a happy number.

6405696 is a `hidden beast` number, since 640 + 5 + 6 + 9 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6405696.

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, 18840 + ... + 19176.

Almost surely, 26405696 is an apocalyptic number.

6405696 is a gapful number since it is divisible by the number (66) 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 6405696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10302240).

6405696 is an abundant number, since it is smaller than the sum of its proper divisors (14198784).

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

6405696 is a wasteful number, since it uses less digits than its factorization.

6405696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6405696 is about 2530.9476486091. The cubic root of 6405696 is about 185.7186171996.

It can be divided in two parts, 640 and 5696, that added together give a palindrome (6336).

The spelling of 6405696 in words is "six million, four hundred five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 337 352 396 432 528 576 594 674 704 792 864 1011 1056 1188 1348 1584 1728 2022 2112 2376 2696 3033 3168 3707 4044 4752 5392 6066 6336 7414 8088 9099 9504 10784 11121 12132 14828 16176 18198 19008 21568 22242 24264 29656 32352 33363 36396 44484 48528 59312 64704 66726 72792 88968 97056 100089 118624 133452 145584 177936 194112 200178 237248 266904 291168 355872 400356 533808 582336 711744 800712 1067616 1601424 2135232 3202848 6405696