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6039072 = 2532131613
BaseRepresentation
bin10111000010011000100000
3102100211001100
4113002120200
53021222242
6333234400
7102221424
oct27023040
912324040
106039072
113455276
122032a00
131335a20
14b32b84
157e454c
hex5c2620

6039072 has 72 divisors (see below), whose sum is σ = 18506124. Its totient is φ = 1857024.

The previous prime is 6039067. The next prime is 6039073. The reversal of 6039072 is 2709306.

It can be written as a sum of positive squares in 2 ways, for example, as 5934096 + 104976 = 2436^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (6039073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2938 + ... + 4550.

Almost surely, 26039072 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 6039072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9253062).

6039072 is an abundant number, since it is smaller than the sum of its proper divisors (12467052).

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

6039072 is a wasteful number, since it uses less digits than its factorization.

6039072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 6039072 is about 2457.4523393140. The cubic root of 6039072 is about 182.1056424876.

The spelling of 6039072 in words is "six million, thirty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1613 1872 3226 3744 4839 6452 9678 12904 14517 19356 20969 25808 29034 38712 41938 51616 58068 62907 77424 83876 116136 125814 154848 167752 188721 232272 251628 335504 377442 464544 503256 671008 754884 1006512 1509768 2013024 3019536 6039072