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36006642 = 2327285767
BaseRepresentation
bin1000100101011…
…0101011110010
32111202022211100
42021112223302
533204203032
63323425230
7615023430
oct211265362
974668740
1036006642
1119363361
1210085216
1375c9009
144ad3d50
15326397c
hex2256af2

36006642 has 24 divisors (see below), whose sum is σ = 89159616. Its totient is φ = 10287576.

The previous prime is 36006631. The next prime is 36006643. The reversal of 36006642 is 24660063.

36006642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

36006642 is a modest number, since divided by 6642 gives 360 as remainder.

It is not an unprimeable number, because it can be changed into a prime (36006643) 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 11 ways as a sum of consecutive naturals, for example, 142758 + ... + 143009.

It is an arithmetic number, because the mean of its divisors is an integer number (3714984).

Almost surely, 236006642 is an apocalyptic number.

36006642 is an abundant number, since it is smaller than the sum of its proper divisors (53152974).

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

36006642 is a wasteful number, since it uses less digits than its factorization.

36006642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285782 (or 285779 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 36006642 is about 6000.5534744722. The cubic root of 36006642 is about 330.2130304933.

The spelling of 36006642 in words is "thirty-six million, six thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 285767 571534 857301 1714602 2000369 2571903 4000738 5143806 6001107 12002214 18003321 36006642