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6102272 = 28112197
BaseRepresentation
bin10111010001110100000000
3102111000202002
4113101310000
53030233042
6334443132
7102603611
oct27216400
912430662
106102272
113498800
1220634a8
131358717
14b4bc08
15808132
hex5d1d00

6102272 has 54 divisors (see below), whose sum is σ = 13456674. Its totient is φ = 2759680.

The previous prime is 6102263. The next prime is 6102301. The reversal of 6102272 is 2722016.

It can be written as a sum of positive squares in only one way, i.e., 6071296 + 30976 = 2464^2 + 176^2 .

It is a pancake number, because a pancake can be divided into 6102272 parts by 3493 straight cuts.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30878 + ... + 31074.

Almost surely, 26102272 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 6102272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6728337).

6102272 is an abundant number, since it is smaller than the sum of its proper divisors (7354402).

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

6102272 is a wasteful number, since it uses less digits than its factorization.

6102272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 6102272 is about 2470.2777171808. The cubic root of 6102272 is about 182.7386956128.

Adding to 6102272 its reverse (2722016), we get a palindrome (8824288).

It can be divided in two parts, 610 and 2272, that added together give a palindrome (2882).

The spelling of 6102272 in words is "six million, one hundred two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 197 242 256 352 394 484 704 788 968 1408 1576 1936 2167 2816 3152 3872 4334 6304 7744 8668 12608 15488 17336 23837 25216 30976 34672 47674 50432 69344 95348 138688 190696 277376 381392 554752 762784 1525568 3051136 6102272