Search a number
-
+
66096060 = 223519371567
BaseRepresentation
bin1111110000100…
…0101110111100
311121101000202020
43330020232330
5113410033220
610320400140
71431543612
oct374105674
9147330666
1066096060
1134344a48
121a176050
13109028c4
148ac76b2
155c09040
hex3f08bbc

66096060 has 96 divisors (see below), whose sum is σ = 200202240. Its totient is φ = 16236288.

The previous prime is 66096049. The next prime is 66096071. The reversal of 66096060 is 6069066.

It is an interprime number because it is at equal distance from previous prime (66096049) and next prime (66096071).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41397 + ... + 42963.

It is an arithmetic number, because the mean of its divisors is an integer number (2085440).

Almost surely, 266096060 is an apocalyptic number.

66096060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66096060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100101120).

66096060 is an abundant number, since it is smaller than the sum of its proper divisors (134106180).

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

66096060 is a wasteful number, since it uses less digits than its factorization.

66096060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 66096060 is about 8129.9483393193. The cubic root of 66096060 is about 404.3199683915.

The spelling of 66096060 in words is "sixty-six million, ninety-six thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 37 38 57 60 74 76 95 111 114 148 185 190 222 228 285 370 380 444 555 570 703 740 1110 1140 1406 1567 2109 2220 2812 3134 3515 4218 4701 6268 7030 7835 8436 9402 10545 14060 15670 18804 21090 23505 29773 31340 42180 47010 57979 59546 89319 94020 115958 119092 148865 173937 178638 231916 289895 297730 347874 357276 446595 579790 595460 695748 869685 893190 1101601 1159580 1739370 1786380 2203202 3304803 3478740 4406404 5508005 6609606 11016010 13219212 16524015 22032020 33048030 66096060