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66135432 = 23311673739
BaseRepresentation
bin1111110001001…
…0010110001000
311121110000202110
43330102112020
5113412313212
610321302320
71432066446
oct374222610
9147400673
1066135432
1134371590
121a1949a0
13109177bc
148ad7b96
155c15a3c
hex3f12588

66135432 has 64 divisors (see below), whose sum is σ = 183110400. Its totient is φ = 19736640.

The previous prime is 66135427. The next prime is 66135437. The reversal of 66135432 is 23453166.

It is an interprime number because it is at equal distance from previous prime (66135427) and next prime (66135437).

It is a self number, because there is not a number n which added to its sum of digits gives 66135432.

It is not an unprimeable number, because it can be changed into a prime (66135437) 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, 15819 + ... + 19557.

It is an arithmetic number, because the mean of its divisors is an integer number (2861100).

Almost surely, 266135432 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 66135432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91555200).

66135432 is an abundant number, since it is smaller than the sum of its proper divisors (116974968).

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

66135432 is a wasteful number, since it uses less digits than its factorization.

66135432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3822 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 66135432 is about 8132.3693964305. The cubic root of 66135432 is about 404.4002340230.

Adding to 66135432 its reverse (23453166), we get a palindrome (89588598).

The spelling of 66135432 in words is "sixty-six million, one hundred thirty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 402 536 737 804 1474 1608 2211 2948 3739 4422 5896 7478 8844 11217 14956 17688 22434 29912 41129 44868 82258 89736 123387 164516 246774 250513 329032 493548 501026 751539 987096 1002052 1503078 2004104 2755643 3006156 5511286 6012312 8266929 11022572 16533858 22045144 33067716 66135432