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40131078 = 23132192083
BaseRepresentation
bin1001100100010…
…1101000000110
32210111212111020
42121011220012
540233143303
63552052010
7665052141
oct231055006
983455436
1040131078
1120720089
1211534006
138411400
145489058
1537caa53
hex2645a06

40131078 has 48 divisors (see below), whose sum is σ = 91529280. Its totient is φ = 11692512.

The previous prime is 40131071. The next prime is 40131109. The reversal of 40131078 is 87013104.

It is a super-2 number, since 2×401310782 = 3221006842884168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40131071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18225 + ... + 20307.

It is an arithmetic number, because the mean of its divisors is an integer number (1906860).

Almost surely, 240131078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40131078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45764640).

40131078 is an abundant number, since it is smaller than the sum of its proper divisors (51398202).

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

40131078 is a wasteful number, since it uses less digits than its factorization.

40131078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 40131078 is about 6334.9094705449. The cubic root of 40131078 is about 342.3683490683.

The spelling of 40131078 in words is "forty million, one hundred thirty-one thousand, seventy-eight".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 169 247 338 494 507 741 1014 1482 2083 3211 4166 6249 6422 9633 12498 19266 27079 39577 54158 79154 81237 118731 162474 237462 352027 514501 704054 1029002 1056081 1543503 2112162 3087006 6688513 13377026 20065539 40131078