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40136140 = 22511241757
BaseRepresentation
bin1001100100011…
…0110111001100
32210112010102201
42121012313030
540233324030
63552131244
7665102662
oct231066714
983463381
1040136140
1120723970
1211536b24
1384137c5
14548ac32
1537cc2ca
hex2646dcc

40136140 has 48 divisors (see below), whose sum is σ = 92451744. Its totient is φ = 14515200.

The previous prime is 40136119. The next prime is 40136141. The reversal of 40136140 is 4163104.

It is a happy number.

40136140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401361402 = 3221819468199200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40136141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52642 + ... + 53398.

It is an arithmetic number, because the mean of its divisors is an integer number (1926078).

Almost surely, 240136140 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 40136140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46225872).

40136140 is an abundant number, since it is smaller than the sum of its proper divisors (52315604).

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

40136140 is a wasteful number, since it uses less digits than its factorization.

40136140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 40136140 is about 6335.3089900967. The cubic root of 40136140 is about 342.3827435294.

Adding to 40136140 its reverse (4163104), we get a palindrome (44299244).

It can be divided in two parts, 4013 and 6140, that added together give a triangular number (10153 = T142).

The spelling of 40136140 in words is "forty million, one hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 241 482 757 964 1205 1514 2410 2651 3028 3785 4820 5302 7570 8327 10604 13255 15140 16654 26510 33308 41635 53020 83270 166540 182437 364874 729748 912185 1824370 2006807 3648740 4013614 8027228 10034035 20068070 40136140