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40392135 = 335742743
BaseRepresentation
bin1001101000010…
…1010111000111
32211000010121000
42122011113013
540320022020
64001424343
71000220220
oct232052707
984003530
1040392135
1120889233
121163b0b3
1384a3194
145516247
15382d090
hex26855c7

40392135 has 32 divisors (see below), whose sum is σ = 82068480. Its totient is φ = 18464544.

The previous prime is 40392133. The next prime is 40392137. The reversal of 40392135 is 53129304.

40392135 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 (40392133) and next prime (40392137).

It is not a de Polignac number, because 40392135 - 21 = 40392133 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 40392099 and 40392108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40392133) 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 31 ways as a sum of consecutive naturals, for example, 20427 + ... + 22316.

It is an arithmetic number, because the mean of its divisors is an integer number (2564640).

Almost surely, 240392135 is an apocalyptic number.

40392135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40392135 is an abundant number, since it is smaller than the sum of its proper divisors (41676345).

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

40392135 is a wasteful number, since it uses less digits than its factorization.

40392135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42764 (or 42758 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 40392135 is about 6355.4807056587. The cubic root of 40392135 is about 343.1091261431.

The spelling of 40392135 in words is "forty million, three hundred ninety-two thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 42743 128229 213715 299201 384687 641145 897603 1154061 1496005 1923435 2692809 4488015 5770305 8078427 13464045 40392135