Search a number
-
+
66134432 = 2571321747
BaseRepresentation
bin1111110001001…
…0000110100000
311121102222101102
43330102012200
5113412300212
610321253532
71432063520
oct374220640
9147388342
1066134432
1134370861
121a1942a8
1310917200
148ad7680
155c155c2
hex3f121a0

66134432 has 72 divisors (see below), whose sum is σ = 161221536. Its totient is φ = 26148096.

The previous prime is 66134417. The next prime is 66134449. The reversal of 66134432 is 23443166.

It is a junction number, because it is equal to n+sod(n) for n = 66134395 and 66134404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36983 + ... + 38729.

It is an arithmetic number, because the mean of its divisors is an integer number (2239188).

Almost surely, 266134432 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 66134432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80610768).

66134432 is an abundant number, since it is smaller than the sum of its proper divisors (95087104).

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

66134432 is a wasteful number, since it uses less digits than its factorization.

66134432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1769 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

The square root of 66134432 is about 8132.3079135016. The cubic root of 66134432 is about 404.3981957698.

Adding to 66134432 its reverse (23443166), we get a palindrome (89577598).

It can be divided in two parts, 66134 and 432, that added together give a palindrome (66566).

The spelling of 66134432 in words is "sixty-six million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 169 182 208 224 338 364 416 676 728 1183 1352 1456 1747 2366 2704 2912 3494 4732 5408 6988 9464 12229 13976 18928 22711 24458 27952 37856 45422 48916 55904 90844 97832 158977 181688 195664 295243 317954 363376 391328 590486 635908 726752 1180972 1271816 2066701 2361944 2543632 4133402 4723888 5087264 8266804 9447776 16533608 33067216 66134432