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6045696 = 2143241
BaseRepresentation
bin10111000100000000000000
3102101011010200
4113010000000
53021430241
6333325200
7102246636
oct27040000
912334120
106045696
11345a248
122036800
131338a47
14b35356
157e64b6
hex5c4000

6045696 has 90 divisors (see below), whose sum is σ = 17890782. Its totient is φ = 1966080.

The previous prime is 6045679. The next prime is 6045701. The reversal of 6045696 is 6965406.

It is a happy number.

6045696 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3686400 + 2359296 = 1920^2 + 1536^2 .

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 6045696.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147436 + ... + 147476.

Almost surely, 26045696 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 6045696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8945391).

6045696 is an abundant number, since it is smaller than the sum of its proper divisors (11845086).

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

6045696 is an equidigital number, since it uses as much as digits as its factorization.

6045696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 46 counting only the distinct ones).

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

The square root of 6045696 is about 2458.7997071742. The cubic root of 6045696 is about 182.1721994580.

The spelling of 6045696 in words is "six million, forty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 512 576 656 738 768 984 1024 1152 1312 1476 1536 1968 2048 2304 2624 2952 3072 3936 4096 4608 5248 5904 6144 7872 8192 9216 10496 11808 12288 15744 16384 18432 20992 23616 24576 31488 36864 41984 47232 49152 62976 73728 83968 94464 125952 147456 167936 188928 251904 335872 377856 503808 671744 755712 1007616 1511424 2015232 3022848 6045696