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66402 = 23271731
BaseRepresentation
bin10000001101100010
310101002100
4100031202
54111102
61231230
7364410
oct201542
9111070
1066402
1145986
1232516
13242bb
141a2b0
1514a1c
hex10362

66402 has 48 divisors (see below), whose sum is σ = 179712. Its totient is φ = 17280.

The previous prime is 66383. The next prime is 66403. The reversal of 66402 is 20466.

66402 is a `hidden beast` number, since 664 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66402.

It is not an unprimeable number, because it can be changed into a prime (66403) by changing a digit.

66402 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2127 + ... + 2157.

It is an arithmetic number, because the mean of its divisors is an integer number (3744).

266402 is an apocalyptic number.

66402 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89856).

66402 is an abundant number, since it is smaller than the sum of its proper divisors (113310).

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

66402 is a wasteful number, since it uses less digits than its factorization.

66402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 66402 is about 257.6858552579. The cubic root of 66402 is about 40.4942836011.

Adding to 66402 its reverse (20466), we get a palindrome (86868).

The spelling of 66402 in words is "sixty-six thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 17 18 21 31 34 42 51 62 63 93 102 119 126 153 186 217 238 279 306 357 434 527 558 651 714 1054 1071 1302 1581 1953 2142 3162 3689 3906 4743 7378 9486 11067 22134 33201 66402