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66030432 = 25313157337
BaseRepresentation
bin1111101111100…
…0101101100000
311121020200201120
43323320231200
5113400433212
610315132240
71431151356
oct373705540
9147220646
1066030432
11342aa706
121a144080
13108aba80
148aab7d6
155be488c
hex3ef8b60

66030432 has 96 divisors (see below), whose sum is σ = 188409312. Its totient is φ = 20127744.

The previous prime is 66030427. The next prime is 66030439. The reversal of 66030432 is 23403066.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66030439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195768 + ... + 196104.

It is an arithmetic number, because the mean of its divisors is an integer number (1962597).

Almost surely, 266030432 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 66030432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94204656).

66030432 is an abundant number, since it is smaller than the sum of its proper divisors (122378880).

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

66030432 is a wasteful number, since it uses less digits than its factorization.

66030432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 66030432 is about 8125.9111489112. The cubic root of 66030432 is about 404.1861051526.

Adding to 66030432 its reverse (23403066), we get a palindrome (89433498).

The spelling of 66030432 in words is "sixty-six million, thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 157 208 312 314 337 416 471 624 628 674 942 1011 1248 1256 1348 1884 2022 2041 2512 2696 3768 4044 4082 4381 5024 5392 6123 7536 8088 8164 8762 10784 12246 13143 15072 16176 16328 17524 24492 26286 32352 32656 35048 48984 52572 52909 65312 70096 97968 105144 105818 140192 158727 195936 210288 211636 317454 420576 423272 634908 687817 846544 1269816 1375634 1693088 2063451 2539632 2751268 4126902 5079264 5502536 8253804 11005072 16507608 22010144 33015216 66030432