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40105140 = 2235798461
BaseRepresentation
bin1001100011111…
…1010010110100
32210110112220120
42120333102310
540231331030
63551331540
7664613415
oct230772264
983415816
1040105140
1120702649
1211520bb0
13840266a
14547d80c
1537c3010
hex263f4b4

40105140 has 48 divisors (see below), whose sum is σ = 113729280. Its totient is φ = 10558080.

The previous prime is 40105127. The next prime is 40105141. The reversal of 40105140 is 4150104.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40105141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510 + ... + 8970.

It is an arithmetic number, because the mean of its divisors is an integer number (2369360).

Almost surely, 240105140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40105140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56864640).

40105140 is an abundant number, since it is smaller than the sum of its proper divisors (73624140).

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

40105140 is a wasteful number, since it uses less digits than its factorization.

40105140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8552 (or 8550 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 40105140 is about 6332.8619122795. The cubic root of 40105140 is about 342.2945719643.

Adding to 40105140 its reverse (4150104), we get a palindrome (44255244).

The spelling of 40105140 in words is "forty million, one hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4740 8461 16922 25383 33844 42305 50766 84610 101532 126915 169220 253830 507660 668419 1336838 2005257 2673676 3342095 4010514 6684190 8021028 10026285 13368380 20052570 40105140