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102016660 = 22517319679
BaseRepresentation
bin1100001010010…
…10011010010100
321002221222112211
412011022122110
5202104013120
614042323204
72346061444
oct605123224
9232858484
10102016660
1152649699
122a1b9504
131819b6b5
14d798124
158e5225a
hex614a694

102016660 has 48 divisors (see below), whose sum is σ = 234178560. Its totient is φ = 37163520.

The previous prime is 102016637. The next prime is 102016699. The reversal of 102016660 is 66610201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5701 + ... + 15379.

It is an arithmetic number, because the mean of its divisors is an integer number (4878720).

Almost surely, 2102016660 is an apocalyptic number.

102016660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102016660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117089280).

102016660 is an abundant number, since it is smaller than the sum of its proper divisors (132161900).

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

102016660 is a wasteful number, since it uses less digits than its factorization.

102016660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9736 (or 9734 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 102016660 is about 10100.3296975891. The cubic root of 102016660 is about 467.2583096849.

Adding to 102016660 its reverse (66610201), we get a palindrome (168626861).

It can be divided in two parts, 10201 and 6660, that added together give a palindrome (16861).

The spelling of 102016660 in words is "one hundred two million, sixteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 2108 2635 5270 9679 10540 19358 38716 48395 96790 164543 193580 300049 329086 600098 658172 822715 1200196 1500245 1645430 3000490 3290860 5100833 6000980 10201666 20403332 25504165 51008330 102016660