Search a number
-
+
102446680 = 2357593617
BaseRepresentation
bin1100001101100…
…11011001011000
321010202211102111
412012303121120
5202211243210
614055442104
72352532240
oct606633130
9233684374
10102446680
1152912786
122a386334
13182bc34b
14d86ab20
158ed988a
hex61b3658

102446680 has 64 divisors (see below), whose sum is σ = 264306240. Its totient is φ = 35008512.

The previous prime is 102446657. The next prime is 102446711. The reversal of 102446680 is 86644201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165732 + ... + 166348.

It is an arithmetic number, because the mean of its divisors is an integer number (4129785).

Almost surely, 2102446680 is an apocalyptic number.

102446680 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 102446680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132153120).

102446680 is an abundant number, since it is smaller than the sum of its proper divisors (161859560).

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

102446680 is a wasteful number, since it uses less digits than its factorization.

102446680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 102446680 is about 10121.5947360087. The cubic root of 102446680 is about 467.9139174957.

The spelling of 102446680 in words is "one hundred two million, four hundred forty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 593 617 1186 1234 2372 2468 2965 3085 4151 4319 4744 4936 5930 6170 8302 8638 11860 12340 16604 17276 20755 21595 23720 24680 33208 34552 41510 43190 83020 86380 166040 172760 365881 731762 1463524 1829405 2561167 2927048 3658810 5122334 7317620 10244668 12805835 14635240 20489336 25611670 51223340 102446680