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3060072 = 233331457
BaseRepresentation
bin1011101011000101101000
312202110122000
423223011220
51240410242
6145331000
735003331
oct13530550
95673560
103060072
111800094
121036a60
13831ac2
14599288
15406a4c
hex2eb168

3060072 has 64 divisors (see below), whose sum is σ = 8793600. Its totient is φ = 984960.

The previous prime is 3060067. The next prime is 3060077. The reversal of 3060072 is 2700603.

3060072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3060067) and next prime (3060077).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3060077) 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, 6468 + ... + 6924.

It is an arithmetic number, because the mean of its divisors is an integer number (137400).

Almost surely, 23060072 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 3060072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4396800).

3060072 is an abundant number, since it is smaller than the sum of its proper divisors (5733528).

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

3060072 is a wasteful number, since it uses less digits than its factorization.

3060072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 3060072 is about 1749.3061481628. The cubic root of 3060072 is about 145.1812556911.

Adding to 3060072 its reverse (2700603), we get a palindrome (5760675).

The spelling of 3060072 in words is "three million, sixty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 457 558 744 837 914 1116 1371 1674 1828 2232 2742 3348 3656 4113 5484 6696 8226 10968 12339 14167 16452 24678 28334 32904 42501 49356 56668 85002 98712 113336 127503 170004 255006 340008 382509 510012 765018 1020024 1530036 3060072