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36873690 = 2357533313
BaseRepresentation
bin1000110010101…
…0010111011010
32120101101012020
42030222113122
533414424230
63354155310
7625264320
oct214522732
976341166
1036873690
11198a5827
1210422b36
137840869
144c7bd10
153385810
hex232a5da

36873690 has 64 divisors (see below), whose sum is σ = 103078656. Its totient is φ = 8266752.

The previous prime is 36873689. The next prime is 36873721. The reversal of 36873690 is 9637863.

36873690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×368736902 = 2719338028432200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

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, 9474 + ... + 12786.

It is an arithmetic number, because the mean of its divisors is an integer number (1610604).

Almost surely, 236873690 is an apocalyptic number.

36873690 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 36873690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51539328).

36873690 is an abundant number, since it is smaller than the sum of its proper divisors (66204966).

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

36873690 is a wasteful number, since it uses less digits than its factorization.

36873690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383.

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 36873690 is about 6072.3710360946. The cubic root of 36873690 is about 332.8425700310.

The spelling of 36873690 in words is "thirty-six million, eight hundred seventy-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 105 106 159 210 265 318 371 530 742 795 1113 1590 1855 2226 3313 3710 5565 6626 9939 11130 16565 19878 23191 33130 46382 49695 69573 99390 115955 139146 175589 231910 347865 351178 526767 695730 877945 1053534 1229123 1755890 2458246 2633835 3687369 5267670 6145615 7374738 12291230 18436845 36873690