Search a number
-
+
40131120 = 2435167213
BaseRepresentation
bin1001100100010…
…1101000110000
32210111212112210
42121011220300
540233143440
63552052120
7665052231
oct231055060
983455483
1040131120
1120720117
1211534040
138411433
145489088
1537caa80
hex2645a30

40131120 has 40 divisors (see below), whose sum is σ = 124407216. Its totient is φ = 10701568.

The previous prime is 40131109. The next prime is 40131121. The reversal of 40131120 is 2113104.

It is a happy number.

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

It is a super-2 number, since 2×401311202 = 3221013584908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 40131096 and 40131105.

It is not an unprimeable number, because it can be changed into a prime (40131121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83367 + ... + 83846.

Almost surely, 240131120 is an apocalyptic number.

40131120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40131120 is an abundant number, since it is smaller than the sum of its proper divisors (84276096).

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

40131120 is a wasteful number, since it uses less digits than its factorization.

40131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167229 (or 167223 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 40131120 is about 6334.9127855086. The cubic root of 40131120 is about 342.3684685058.

Adding to 40131120 its reverse (2113104), we get a palindrome (42244224).

The spelling of 40131120 in words is "forty million, one 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 167213 334426 501639 668852 836065 1003278 1337704 1672130 2006556 2508195 2675408 3344260 4013112 5016390 6688520 8026224 10032780 13377040 20065560 40131120