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40032126 = 23219117053
BaseRepresentation
bin1001100010110…
…1011101111110
32210022211202100
42120231131332
540222012001
63550005530
7664160511
oct230553576
983284670
1040032126
1120662802
12114a68a6
1383a8364
145460d78
1537ab586
hex262d77e

40032126 has 24 divisors (see below), whose sum is σ = 91302120. Its totient is φ = 12641616.

The previous prime is 40032101. The next prime is 40032137. The reversal of 40032126 is 62123004.

It is a happy number.

It is a super-2 number, since 2×400321262 = 3205142224159752, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40032099 and 40032108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58185 + ... + 58868.

It is an arithmetic number, because the mean of its divisors is an integer number (3804255).

Almost surely, 240032126 is an apocalyptic number.

40032126 is an abundant number, since it is smaller than the sum of its proper divisors (51269994).

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

40032126 is a wasteful number, since it uses less digits than its factorization.

40032126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117080 (or 117077 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40032126 is about 6327.0945938875. The cubic root of 40032126 is about 342.0867226468.

The spelling of 40032126 in words is "forty million, thirty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 117053 234106 351159 702318 1053477 2106954 2224007 4448014 6672021 13344042 20016063 40032126