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67009640 = 2357572213
BaseRepresentation
bin1111111110011…
…1110001101000
311200002102221112
43333213301220
5114123302030
610352125452
71442400245
oct377476150
9150072845
1067009640
1134909375
121a536888
1310b62699
148c845cc
155d39a95
hex3fe7c68

67009640 has 32 divisors (see below), whose sum is σ = 151039080. Its totient is φ = 26756352.

The previous prime is 67009619. The next prime is 67009651. The reversal of 67009640 is 4690076.

It can be written as a sum of positive squares in 4 ways, for example, as 66814276 + 195364 = 8174^2 + 442^2 .

It is a junction number, because it is equal to n+sod(n) for n = 67009597 and 67009606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29174 + ... + 31386.

Almost surely, 267009640 is an apocalyptic number.

It is an amenable number.

67009640 is an abundant number, since it is smaller than the sum of its proper divisors (84029440).

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

67009640 is a wasteful number, since it uses less digits than its factorization.

67009640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 67009640 is about 8185.9416074145. The cubic root of 67009640 is about 406.1742883759.

The spelling of 67009640 in words is "sixty-seven million, nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 757 1514 2213 3028 3785 4426 6056 7570 8852 11065 15140 17704 22130 30280 44260 88520 1675241 3350482 6700964 8376205 13401928 16752410 33504820 67009640