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67866640 = 2457311621
BaseRepresentation
bin1000000101110…
…01000000010000
311201200222112021
410002321000100
5114333213030
610422341224
71452566632
oct402710020
9151628467
1067866640
1135344236
121a88a814
13110a279a
149028a52
155e5897a
hex40b9010

67866640 has 40 divisors (see below), whose sum is σ = 159965208. Its totient is φ = 26772480.

The previous prime is 67866619. The next prime is 67866671. The reversal of 67866640 is 4666876.

It can be written as a sum of positive squares in 4 ways, for example, as 692224 + 67174416 = 832^2 + 8196^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30 + ... + 11650.

Almost surely, 267866640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67866640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79982604).

67866640 is an abundant number, since it is smaller than the sum of its proper divisors (92098568).

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

67866640 is a wasteful number, since it uses less digits than its factorization.

67866640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11707 (or 11701 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 67866640 is about 8238.1211450184. The cubic root of 67866640 is about 407.8985073708.

The spelling of 67866640 in words is "sixty-seven million, eight hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 11621 23242 46484 58105 92968 116210 185936 232420 464840 848333 929680 1696666 3393332 4241665 6786664 8483330 13573328 16966660 33933320 67866640