Search a number
-
+
66020712 = 23347107547
BaseRepresentation
bin1111101111011…
…0010101101000
311121020012101120
43323312111220
5113400130322
610315015240
71431111132
oct373662550
9147205346
1066020712
11342a337a
121a13a520
13108a7514
148aa8052
155be1a5c
hex3ef6568

66020712 has 64 divisors (see below), whose sum is σ = 170449920. Its totient is φ = 21298368.

The previous prime is 66020693. The next prime is 66020719. The reversal of 66020712 is 21702066.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (66020719) 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, 120423 + ... + 120969.

It is an arithmetic number, because the mean of its divisors is an integer number (2663280).

Almost surely, 266020712 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 66020712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85224960).

66020712 is an abundant number, since it is smaller than the sum of its proper divisors (104429208).

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

66020712 is a wasteful number, since it uses less digits than its factorization.

66020712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 66020712 is about 8125.3130401234. The cubic root of 66020712 is about 404.1662714607.

Adding to 66020712 its reverse (21702066), we get a palindrome (87722778).

The spelling of 66020712 in words is "sixty-six million, twenty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 107 141 188 214 282 321 376 428 547 564 642 856 1094 1128 1284 1641 2188 2568 3282 4376 5029 6564 10058 13128 15087 20116 25709 30174 40232 51418 58529 60348 77127 102836 117058 120696 154254 175587 205672 234116 308508 351174 468232 617016 702348 1404696 2750863 5501726 8252589 11003452 16505178 22006904 33010356 66020712