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36669060 = 223251012017
BaseRepresentation
bin1000101111100…
…0011010000100
32112222222111100
42023320122010
533341402220
63345540100
7623452611
oct213703204
975888440
1036669060
111977600a
1210344630
13779b68c
144c27508
153344d90
hex22f8684

36669060 has 72 divisors (see below), whose sum is σ = 112386456. Its totient is φ = 9676800.

The previous prime is 36669043. The next prime is 36669089. The reversal of 36669060 is 6096663.

It can be written as a sum of positive squares in 4 ways, for example, as 19079424 + 17589636 = 4368^2 + 4194^2 .

It is a super-2 number, since 2×366690602 = 2689239922567200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17172 + ... + 19188.

It is an arithmetic number, because the mean of its divisors is an integer number (1560923).

Almost surely, 236669060 is an apocalyptic number.

36669060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36669060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56193228).

36669060 is an abundant number, since it is smaller than the sum of its proper divisors (75717396).

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

36669060 is a wasteful number, since it uses less digits than its factorization.

36669060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 36669060 is about 6055.4983279661. The cubic root of 36669060 is about 332.2257259161.

The spelling of 36669060 in words is "thirty-six million, six hundred sixty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2017 2020 3030 3636 4034 4545 6051 6060 8068 9090 10085 12102 18153 18180 20170 24204 30255 36306 40340 60510 72612 90765 121020 181530 203717 363060 407434 611151 814868 1018585 1222302 1833453 2037170 2444604 3055755 3666906 4074340 6111510 7333812 9167265 12223020 18334530 36669060