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40431120 = 2435168463
BaseRepresentation
bin1001101000111…
…0111000010000
32211002010001220
42122032320100
540322243440
64002325040
71000441662
oct232167020
984063056
1040431120
1120905554
1211659780
1384b7b52
145526532
1538398d0
hex268ee10

40431120 has 40 divisors (see below), whose sum is σ = 125337216. Its totient is φ = 10781568.

The previous prime is 40431119. The next prime is 40431199. The reversal of 40431120 is 2113404.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a self number, because there is not a number n which added to its sum of digits gives 40431120.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 83992 + ... + 84471.

Almost surely, 240431120 is an apocalyptic number.

40431120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40431120 is an abundant number, since it is smaller than the sum of its proper divisors (84906096).

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

40431120 is a wasteful number, since it uses less digits than its factorization.

40431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168479 (or 168473 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 40431120 is about 6358.5470038366. The cubic root of 40431120 is about 343.2194760765.

Adding to 40431120 its reverse (2113404), we get a palindrome (42544524).

The spelling of 40431120 in words is "forty million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 168463 336926 505389 673852 842315 1010778 1347704 1684630 2021556 2526945 2695408 3369260 4043112 5053890 6738520 8086224 10107780 13477040 20215560 40431120