Search a number
-
+
67630240 = 255422689
BaseRepresentation
bin1000000011111…
…11010010100000
311201020222020201
410001333102200
5114303131430
610413314544
71450563466
oct401772240
9151228221
1067630240
11351a2667
121a795a54
131101bcc2
148da6836
155e0d8ca
hex407f4a0

67630240 has 24 divisors (see below), whose sum is σ = 159776820. Its totient is φ = 27052032.

The previous prime is 67630231. The next prime is 67630259. The reversal of 67630240 is 4203676.

It can be written as a sum of positive squares in 2 ways, for example, as 57820816 + 9809424 = 7604^2 + 3132^2 .

It is a junction number, because it is equal to n+sod(n) for n = 67630199 and 67630208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 211185 + ... + 211504.

Almost surely, 267630240 is an apocalyptic number.

It is an amenable number.

67630240 is an abundant number, since it is smaller than the sum of its proper divisors (92146580).

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

67630240 is a wasteful number, since it uses less digits than its factorization.

67630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422704 (or 422696 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 67630240 is about 8223.7606969075. The cubic root of 67630240 is about 407.4243451707.

The spelling of 67630240 in words is "sixty-seven million, six hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 422689 845378 1690756 2113445 3381512 4226890 6763024 8453780 13526048 16907560 33815120 67630240