Search a number
-
+
104688860 = 22519318887
BaseRepresentation
bin1100011110101…
…10110011011100
321021222202010012
412033112303130
5203300020420
614215502352
72410561223
oct617266334
9237882105
10104688860
1154104321
122b0879b8
13188c5a93
14dc91cba
1592cddc5
hex63d6cdc

104688860 has 48 divisors (see below), whose sum is σ = 238909440. Its totient is φ = 38387520.

The previous prime is 104688851. The next prime is 104688863. The reversal of 104688860 is 68886401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104688863) 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, 7337 + ... + 16223.

It is an arithmetic number, because the mean of its divisors is an integer number (4977280).

Almost surely, 2104688860 is an apocalyptic number.

104688860 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 104688860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119454720).

104688860 is an abundant number, since it is smaller than the sum of its proper divisors (134220580).

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

104688860 is a wasteful number, since it uses less digits than its factorization.

104688860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8946 (or 8944 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 104688860 is about 10231.7574248024. The cubic root of 104688860 is about 471.3029486435.

The spelling of 104688860 in words is "one hundred four million, six hundred eighty-eight thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 589 620 1178 2356 2945 5890 8887 11780 17774 35548 44435 88870 168853 177740 275497 337706 550994 675412 844265 1101988 1377485 1688530 2754970 3377060 5234443 5509940 10468886 20937772 26172215 52344430 104688860