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40688180 = 22513156493
BaseRepresentation
bin1001101100110…
…1101000110100
32211120011200122
42123031220310
540404010210
64012031112
71002562301
oct233155064
984504618
1040688180
1120a706a5
1211762498
138577b60
1455920a8
15388ab55
hex26cda34

40688180 has 24 divisors (see below), whose sum is σ = 92018472. Its totient is φ = 15023232.

The previous prime is 40688147. The next prime is 40688201. The reversal of 40688180 is 8188604.

40688180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3794704 + 36893476 = 1948^2 + 6074^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40688180.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 77987 + ... + 78506.

It is an arithmetic number, because the mean of its divisors is an integer number (3834103).

Almost surely, 240688180 is an apocalyptic number.

It is an amenable number.

40688180 is an abundant number, since it is smaller than the sum of its proper divisors (51330292).

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

40688180 is a wasteful number, since it uses less digits than its factorization.

40688180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156515 (or 156513 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 40688180 is about 6378.7287134663. The cubic root of 40688180 is about 343.9453333899.

The spelling of 40688180 in words is "forty million, six hundred eighty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 156493 312986 625972 782465 1564930 2034409 3129860 4068818 8137636 10172045 20344090 40688180