Search a number
-
+
66151332 = 223213283131
BaseRepresentation
bin1111110001011…
…0001110100100
311121110211120100
43330112032210
5113413320312
610321504100
71432164012
oct374261644
9147424510
1066151332
1134382525
121a1a2030
1310921b00
148add8b2
155c1a5dc
hex3f163a4

66151332 has 108 divisors (see below), whose sum is σ = 184648464. Its totient is φ = 19955520.

The previous prime is 66151321. The next prime is 66151333. The reversal of 66151332 is 23315166.

66151332 is a `hidden beast` number, since 6 + 615 + 13 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 66151296 and 66151305.

It is not an unprimeable number, because it can be changed into a prime (66151333) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 504907 + ... + 505037.

It is an arithmetic number, because the mean of its divisors is an integer number (1709708).

Almost surely, 266151332 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 66151332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92324232).

66151332 is an abundant number, since it is smaller than the sum of its proper divisors (118497132).

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

66151332 is a wasteful number, since it uses less digits than its factorization.

66151332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 232 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 66151332 is about 8133.3469125570. The cubic root of 66151332 is about 404.4326394892.

Adding to 66151332 its reverse (23315166), we get a palindrome (89466498).

The spelling of 66151332 in words is "sixty-six million, one hundred fifty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 83 117 131 156 166 169 234 249 262 332 338 393 468 498 507 524 676 747 786 996 1014 1079 1179 1494 1521 1572 1703 2028 2158 2358 2988 3042 3237 3406 4316 4716 5109 6084 6474 6812 9711 10218 10873 12948 14027 15327 19422 20436 21746 22139 28054 30654 32619 38844 42081 43492 44278 56108 61308 65238 66417 84162 88556 97857 126243 130476 132834 141349 168324 195714 199251 252486 265668 282698 391428 398502 424047 504972 565396 797004 848094 1272141 1696188 1837537 2544282 3675074 5088564 5512611 7350148 11025222 16537833 22050444 33075666 66151332