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40177107 = 3310314447
BaseRepresentation
bin1001100101000…
…0110111010011
32210121012122000
42121100313103
540241131412
63553045043
7665333265
oct231206723
983535560
1040177107
1120751723
1211556783
138429349
14549bb35
1537d94dc
hex2650dd3

40177107 has 16 divisors (see below), whose sum is σ = 60103680. Its totient is φ = 26522856.

The previous prime is 40177061. The next prime is 40177117. The reversal of 40177107 is 70177104.

40177107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40177107 - 26 = 40177043 is a prime.

It is a super-2 number, since 2×401771072 = 3228399853778898, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (40177117) 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, 4443 + ... + 10004.

It is an arithmetic number, because the mean of its divisors is an integer number (3756480).

Almost surely, 240177107 is an apocalyptic number.

40177107 is a deficient number, since it is larger than the sum of its proper divisors (19926573).

40177107 is a wasteful number, since it uses less digits than its factorization.

40177107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14559 (or 14553 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 40177107 is about 6338.5413937277. The cubic root of 40177107 is about 342.4991940592.

It can be divided in two parts, 40 and 177107, that added together give a 11-th power (177147 = 311).

The spelling of 40177107 in words is "forty million, one hundred seventy-seven thousand, one hundred seven".

Divisors: 1 3 9 27 103 309 927 2781 14447 43341 130023 390069 1488041 4464123 13392369 40177107