Search a number
-
+
67985000 = 235413597
BaseRepresentation
bin1000000110101…
…01111001101000
311201220222212222
410003111321220
5114401010000
610425053212
71453601666
oct403257150
9151828788
1067985000
1135415156
121a927208
1311114615
149059c36
155e7da85
hex40d5e68

67985000 has 40 divisors (see below), whose sum is σ = 159300570. Its totient is φ = 27192000.

The previous prime is 67984999. The next prime is 67985003. The reversal of 67985000 is 58976.

It can be written as a sum of positive squares in 5 ways, for example, as 1170724 + 66814276 = 1082^2 + 8174^2 .

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

It is not an unprimeable number, because it can be changed into a prime (67985003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1799 + ... + 11798.

Almost surely, 267985000 is an apocalyptic number.

It is an amenable number.

67985000 is an abundant number, since it is smaller than the sum of its proper divisors (91315570).

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

67985000 is a wasteful number, since it uses less digits than its factorization.

67985000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13623 (or 13604 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 67985000 is about 8245.3016924792. The cubic root of 67985000 is about 408.1354958148.

The spelling of 67985000 in words is "sixty-seven million, nine hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 13597 27194 54388 67985 108776 135970 271940 339925 543880 679850 1359700 1699625 2719400 3399250 6798500 8498125 13597000 16996250 33992500 67985000