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36679890 = 23513163577
BaseRepresentation
bin1000101111101…
…1000011010010
32120000112100110
42023323003102
533342224030
63350102150
7623526312
oct213730322
976015313
1036679890
1119783165
121034a956
1377a35a0
144c2b442
1533481b0
hex22fb0d2

36679890 has 64 divisors (see below), whose sum is σ = 95550336. Its totient is φ = 8957952.

The previous prime is 36679889. The next prime is 36679901. The reversal of 36679890 is 9897663.

It is a happy number.

36679890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 63282 + ... + 63858.

It is an arithmetic number, because the mean of its divisors is an integer number (1492974).

Almost surely, 236679890 is an apocalyptic number.

36679890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36679890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47775168).

36679890 is an abundant number, since it is smaller than the sum of its proper divisors (58870446).

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

36679890 is a wasteful number, since it uses less digits than its factorization.

36679890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763.

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 36679890 is about 6056.3924905838. The cubic root of 36679890 is about 332.2584296946.

The spelling of 36679890 in words is "thirty-six million, six hundred seventy-nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 163 195 326 390 489 577 815 978 1154 1630 1731 2119 2445 2885 3462 4238 4890 5770 6357 7501 8655 10595 12714 15002 17310 21190 22503 31785 37505 45006 63570 75010 94051 112515 188102 225030 282153 470255 564306 940510 1222663 1410765 2445326 2821530 3667989 6113315 7335978 12226630 18339945 36679890