Search a number
-
+
67130028 = 22327487547
BaseRepresentation
bin1000000000001…
…01001010101100
311200022120002100
410000011022230
5114141130103
610354455100
71443411240
oct400051254
9150276070
1067130028
1134990869
121a594490
1310ba5414
148cb6420
155d605a3
hex40052ac

67130028 has 72 divisors (see below), whose sum is σ = 194684672. Its totient is φ = 19105632.

The previous prime is 67130017. The next prime is 67130039. The reversal of 67130028 is 82003176.

It is an interprime number because it is at equal distance from previous prime (67130017) and next prime (67130039).

It is a junction number, because it is equal to n+sod(n) for n = 67129983 and 67130010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122451 + ... + 122997.

Almost surely, 267130028 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 67130028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97342336).

67130028 is an abundant number, since it is smaller than the sum of its proper divisors (127554644).

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

67130028 is a wasteful number, since it uses less digits than its factorization.

67130028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 67130028 is about 8193.2916462189. The cubic root of 67130028 is about 406.4173840266.

The spelling of 67130028 in words is "sixty-seven million, one hundred thirty thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 487 547 974 1094 1461 1641 1948 2188 2922 3282 3409 3829 4383 4923 5844 6564 6818 7658 8766 9846 10227 11487 13636 15316 17532 19692 20454 22974 30681 34461 40908 45948 61362 68922 122724 137844 266389 532778 799167 1065556 1598334 1864723 2397501 3196668 3729446 4795002 5594169 7458892 9590004 11188338 16782507 22376676 33565014 67130028