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36942084 = 223210132
BaseRepresentation
bin1000110011101…
…1000100000100
32120111212000100
42030323010010
533424121314
63355444100
7626000604
oct214730404
976455010
1036942084
1119942153
1210456630
137865a2a
144c98c04
15339ac09
hex233b104

36942084 has 27 divisors (see below), whose sum is σ = 93473653. Its totient is φ = 12301872.

The previous prime is 36942079. The next prime is 36942089. The reversal of 36942084 is 48024963.

It is a happy number.

The square root of 36942084 is 6078.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (36942079) and next prime (36942089).

It can be written as a sum of positive squares in only one way, i.e., 72900 + 36869184 = 270^2 + 6072^2 .

It is a super-3 number, since 3×369420843 (a number of 24 digits) contains 333 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36942089) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35962 + ... + 36974.

Almost surely, 236942084 is an apocalyptic number.

36942084 is the 6078-th square number.

It is an amenable number.

36942084 is an abundant number, since it is smaller than the sum of its proper divisors (56531569).

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

36942084 is a wasteful number, since it uses less digits than its factorization.

36942084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The cubic root of 36942084 is about 333.0482304408.

Multiplying 36942084 by its sum of digits (36), we get a square (1329915024 = 364682).

36942084 divided by its sum of digits (36) gives a square (1026169 = 10132).

It can be divided in two parts, 3694 and 2084, that added together give a triangular number (5778 = T107).

The spelling of 36942084 in words is "thirty-six million, nine hundred forty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1013 2026 3039 4052 6078 9117 12156 18234 36468 1026169 2052338 3078507 4104676 6157014 9235521 12314028 18471042 36942084