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6074016 = 2531331157
BaseRepresentation
bin10111001010111010100000
3102102120222120
4113022322200
53023332031
6334104240
7102425334
oct27127240
912376876
106074016
113479553
12204b080
1313488c0
14b417c4
157eea96
hex5caea0

6074016 has 96 divisors (see below), whose sum is σ = 17837568. Its totient is φ = 1797120.

The previous prime is 6074011. The next prime is 6074041. The reversal of 6074016 is 6104706.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6074011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38610 + ... + 38766.

It is an arithmetic number, because the mean of its divisors is an integer number (185808).

Almost surely, 26074016 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 6074016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8918784).

6074016 is an abundant number, since it is smaller than the sum of its proper divisors (11763552).

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

6074016 is a wasteful number, since it uses less digits than its factorization.

6074016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 6074016 is about 2464.5518862463. The cubic root of 6074016 is about 182.4562076698.

The spelling of 6074016 in words is "six million, seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 157 186 208 248 312 314 372 403 416 471 496 624 628 744 806 942 992 1209 1248 1256 1488 1612 1884 2041 2418 2512 2976 3224 3768 4082 4836 4867 5024 6123 6448 7536 8164 9672 9734 12246 12896 14601 15072 16328 19344 19468 24492 29202 32656 38688 38936 48984 58404 63271 65312 77872 97968 116808 126542 155744 189813 195936 233616 253084 379626 467232 506168 759252 1012336 1518504 2024672 3037008 6074016