Search a number
-
+
667900398 = 231128771049
BaseRepresentation
bin100111110011110…
…101100111101110
31201112202212002210
4213303311213232
52331440303043
6150135231250
722360026324
oct4763654756
91645685083
10667900398
11313015500
12167818526
13a84b0849
14649bdd14
153d981633
hex27cf59ee

667900398 has 48 divisors (see below), whose sum is σ = 1471352400. Its totient is φ = 201970560.

The previous prime is 667900393. The next prime is 667900447. The reversal of 667900398 is 893009766.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667900391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 636178 + ... + 637226.

It is an arithmetic number, because the mean of its divisors is an integer number (30653175).

Almost surely, 2667900398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667900398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735676200).

667900398 is an abundant number, since it is smaller than the sum of its proper divisors (803452002).

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

667900398 is a wasteful number, since it uses less digits than its factorization.

667900398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 667900398 is about 25843.7690362687. The cubic root of 667900398 is about 874.1190144557.

The spelling of 667900398 in words is "six hundred sixty-seven million, nine hundred thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 877 1049 1754 2098 2631 3147 5262 6294 9647 11539 19294 23078 28941 34617 57882 69234 106117 126929 212234 253858 318351 380787 636702 761574 919973 1839946 2759919 5519838 10119703 20239406 30359109 60718218 111316733 222633466 333950199 667900398