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66401532 = 22342937191
BaseRepresentation
bin1111110101001…
…1010011111100
311121221112210000
43331103103330
5113444322112
610331114300
71434255321
oct375232374
9147845700
1066401532
11345334aa
121a2a2990
13109ab962
148b66b48
155c697dc
hex3f534fc

66401532 has 120 divisors (see below), whose sum is σ = 185391360. Its totient is φ = 20684160.

The previous prime is 66401521. The next prime is 66401539. The reversal of 66401532 is 23510466.

66401532 is a `hidden beast` number, since 6 + 640 + 15 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 66401496 and 66401505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66401539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 347557 + ... + 347747.

It is an arithmetic number, because the mean of its divisors is an integer number (1544928).

Almost surely, 266401532 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 66401532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92695680).

66401532 is an abundant number, since it is smaller than the sum of its proper divisors (118989828).

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

66401532 is a wasteful number, since it uses less digits than its factorization.

66401532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 66401532 is about 8148.7135180960. The cubic root of 66401532 is about 404.9418846653.

Adding to 66401532 its reverse (23510466), we get a palindrome (89911998).

The spelling of 66401532 in words is "sixty-six million, four hundred one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 37 54 58 74 81 87 108 111 116 148 162 174 191 222 261 324 333 348 382 444 522 573 666 764 783 999 1044 1073 1146 1332 1566 1719 1998 2146 2292 2349 2997 3132 3219 3438 3996 4292 4698 5157 5539 5994 6438 6876 7067 9396 9657 10314 11078 11988 12876 14134 15471 16617 19314 20628 21201 22156 28268 28971 30942 33234 38628 42402 49851 57942 61884 63603 66468 84804 86913 99702 115884 127206 149553 173826 190809 199404 204943 254412 299106 347652 381618 409886 448659 572427 598212 614829 763236 819772 897318 1144854 1229658 1794636 1844487 2289708 2459316 3688974 5533461 7377948 11066922 16600383 22133844 33200766 66401532