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6034272 = 253239263
BaseRepresentation
bin10111000001001101100000
3102100120110120
4113001031200
53021044042
6333200240
7102201426
oct27011540
912316416
106034272
113451702
122030080
13133379a
14b31116
157e2dec
hex5c1360

6034272 has 48 divisors (see below), whose sum is σ = 15966720. Its totient is φ = 1995392.

The previous prime is 6034247. The next prime is 6034393. The reversal of 6034272 is 2724306.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a d-powerful number, because it can be written as 66 + 0 + 314 + 410 + 213 + 75 + 217 .

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22813 + ... + 23075.

It is an arithmetic number, because the mean of its divisors is an integer number (332640).

Almost surely, 26034272 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 6034272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983360).

6034272 is an abundant number, since it is smaller than the sum of its proper divisors (9932448).

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

6034272 is a wasteful number, since it uses less digits than its factorization.

6034272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 6034272 is about 2456.4755239977. The cubic root of 6034272 is about 182.0573823811.

Adding to 6034272 its reverse (2724306), we get a palindrome (8758578).

The spelling of 6034272 in words is "six million, thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 263 478 526 717 789 956 1052 1434 1578 1912 2104 2868 3156 3824 4208 5736 6312 7648 8416 11472 12624 22944 25248 62857 125714 188571 251428 377142 502856 754284 1005712 1508568 2011424 3017136 6034272