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65988 = 22331347
BaseRepresentation
bin10000000111000100
310100112000
4100013010
54102423
61225300
7363246
oct200704
9110460
1065988
114563a
1232230
1324060
141a096
1514843
hex101c4

65988 has 48 divisors (see below), whose sum is σ = 188160. Its totient is φ = 19872.

The previous prime is 65983. The next prime is 65993. The reversal of 65988 is 88956.

It is an interprime number because it is at equal distance from previous prime (65983) and next prime (65993).

It is a super-2 number, since 2×659882 = 8708832288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (65981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1381 + ... + 1427.

It is an arithmetic number, because the mean of its divisors is an integer number (3920).

265988 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 65988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94080).

65988 is an abundant number, since it is smaller than the sum of its proper divisors (122172).

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

65988 is a wasteful number, since it uses less digits than its factorization.

65988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 65 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 65988 is about 256.8812955433. The cubic root of 65988 is about 40.4099508214.

It can be divided in two parts, 659 and 88, that added together give a palindrome (747).

The spelling of 65988 in words is "sixty-five thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 47 52 54 78 94 108 117 141 156 188 234 282 351 423 468 564 611 702 846 1222 1269 1404 1692 1833 2444 2538 3666 5076 5499 7332 10998 16497 21996 32994 65988