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40132116 = 22326471723
BaseRepresentation
bin1001100100010…
…1111000010100
32210111220220200
42121011320110
540233211431
63552100500
7665055153
oct231057024
983456820
1040132116
1120720942
1211534730
138411a1b
14548959a
1537caee6
hex2645e14

40132116 has 36 divisors (see below), whose sum is σ = 101660832. Its totient is φ = 13348944.

The previous prime is 40132093. The next prime is 40132117. The reversal of 40132116 is 61123104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×401321162 = 3221173469274912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40132117) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 22431 + ... + 24153.

It is an arithmetic number, because the mean of its divisors is an integer number (2823912).

Almost surely, 240132116 is an apocalyptic number.

It is an amenable number.

40132116 is an abundant number, since it is smaller than the sum of its proper divisors (61528716).

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

40132116 is a wasteful number, since it uses less digits than its factorization.

40132116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 40132116 is about 6334.9913969949. The cubic root of 40132116 is about 342.3713008561.

The spelling of 40132116 in words is "forty million, one hundred thirty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 647 1294 1723 1941 2588 3446 3882 5169 5823 6892 7764 10338 11646 15507 20676 23292 31014 62028 1114781 2229562 3344343 4459124 6688686 10033029 13377372 20066058 40132116