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40180077 = 337212593
BaseRepresentation
bin1001100101000…
…1100101101101
32210121100201000
42121101211231
540241230302
63553110513
7665345040
oct231214555
983540630
1040180077
1120753983
1211558439
13842a7c2
14549cc57
1537da31c
hex265196d

40180077 has 16 divisors (see below), whose sum is σ = 68030080. Its totient is φ = 22959936.

The previous prime is 40180073. The next prime is 40180081. The reversal of 40180077 is 77008104.

40180077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40180073) and next prime (40180081).

It is not a de Polignac number, because 40180077 - 22 = 40180073 is a prime.

It is a super-2 number, since 2×401800772 = 3228877175451858, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40180077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40180073) 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, 106108 + ... + 106485.

It is an arithmetic number, because the mean of its divisors is an integer number (4251880).

Almost surely, 240180077 is an apocalyptic number.

It is an amenable number.

40180077 is a deficient number, since it is larger than the sum of its proper divisors (27850003).

40180077 is a wasteful number, since it uses less digits than its factorization.

40180077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212609 (or 212603 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 40180077 is about 6338.7756704272. The cubic root of 40180077 is about 342.5076333390.

The spelling of 40180077 in words is "forty million, one hundred eighty thousand, seventy-seven".

Divisors: 1 3 7 9 21 27 63 189 212593 637779 1488151 1913337 4464453 5740011 13393359 40180077