Search a number
-
+
66988584 = 23321371569
BaseRepresentation
bin1111111110001…
…0101000101000
311200001101001200
43333202220220
5114122113314
610351444200
71442251665
oct377425050
9150041050
1066988584
11348a4573
121a526660
1310b55c20
148c7aa6c
155d33709
hex3fe2a28

66988584 has 48 divisors (see below), whose sum is σ = 195386100. Its totient is φ = 20611584.

The previous prime is 66988529. The next prime is 66988639. The reversal of 66988584 is 48588966.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66988529) and next prime (66988639).

It can be written as a sum of positive squares in 2 ways, for example, as 66879684 + 108900 = 8178^2 + 330^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66988584.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34849 + ... + 36720.

Almost surely, 266988584 is an apocalyptic number.

It is an amenable number.

66988584 is an abundant number, since it is smaller than the sum of its proper divisors (128397516).

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

66988584 is a wasteful number, since it uses less digits than its factorization.

66988584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71594 (or 71587 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 66988584 is about 8184.6553989768. The cubic root of 66988584 is about 406.1317407576.

It can be divided in two parts, 669 and 88584, that added together give a triangular number (89253 = T422).

The spelling of 66988584 in words is "sixty-six million, nine hundred eighty-eight thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 71569 143138 214707 286276 429414 572552 644121 858828 930397 1288242 1717656 1860794 2576484 2791191 3721588 5152968 5582382 7443176 8373573 11164764 16747146 22329528 33494292 66988584