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66060432 = 2432795807
BaseRepresentation
bin1111110000000…
…0000010010000
311121022012212200
43330000002100
5113402413212
610315523200
71431335004
oct374000220
9147265780
1066060432
11343201a9
121a159500
13108bc619
148ab8704
155bed6dc
hex3f00090

66060432 has 60 divisors (see below), whose sum is σ = 187249920. Its totient is φ = 21737664.

The previous prime is 66060391. The next prime is 66060433. The reversal of 66060432 is 23406066.

It is a junction number, because it is equal to n+sod(n) for n = 66060396 and 66060405.

It is not an unprimeable number, because it can be changed into a prime (66060433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8473 + ... + 14279.

It is an arithmetic number, because the mean of its divisors is an integer number (3120832).

Almost surely, 266060432 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 66060432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93624960).

66060432 is an abundant number, since it is smaller than the sum of its proper divisors (121189488).

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

66060432 is a wasteful number, since it uses less digits than its factorization.

66060432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5900 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 66060432 is about 8127.7568861279. The cubic root of 66060432 is about 404.2473079793.

Adding to 66060432 its reverse (23406066), we get a palindrome (89466498).

The spelling of 66060432 in words is "sixty-six million, sixty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1264 1422 1896 2844 3792 5688 5807 11376 11614 17421 23228 34842 46456 52263 69684 92912 104526 139368 209052 278736 418104 458753 836208 917506 1376259 1835012 2752518 3670024 4128777 5505036 7340048 8257554 11010072 16515108 22020144 33030216 66060432