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6036972 = 22317101293
BaseRepresentation
bin10111000001110111101100
3102100201011120
4113001313230
53021140342
6333220540
7102212334
oct27016754
912321146
106036972
113453737
122031750
131334a96
14b320c4
157e3aec
hex5c1dec

6036972 has 48 divisors (see below), whose sum is σ = 15113952. Its totient is φ = 1868800.

The previous prime is 6036967. The next prime is 6036973. The reversal of 6036972 is 2796306.

6036972 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (6036973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20458 + ... + 20750.

It is an arithmetic number, because the mean of its divisors is an integer number (314874).

Almost surely, 26036972 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 6036972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7556976).

6036972 is an abundant number, since it is smaller than the sum of its proper divisors (9076980).

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

6036972 is a wasteful number, since it uses less digits than its factorization.

6036972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 6036972 is about 2457.0250303975. The cubic root of 6036972 is about 182.0845318388.

The spelling of 6036972 in words is "six million, thirty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 101 102 202 204 293 303 404 586 606 879 1172 1212 1717 1758 3434 3516 4981 5151 6868 9962 10302 14943 19924 20604 29593 29886 59186 59772 88779 118372 177558 355116 503081 1006162 1509243 2012324 3018486 6036972