Search a number
-
+
83103606 = 23219435651
BaseRepresentation
bin1001111010000…
…00111101110110
312210101002201100
410331000331312
5132233303411
612125110530
72026240365
oct475007566
9183332640
1083103606
1142a00a73
12239b8446
13142a8c41
14b0737dc
157468456
hex4f40f76

83103606 has 48 divisors (see below), whose sum is σ = 193976640. Its totient is φ = 25628400.

The previous prime is 83103569. The next prime is 83103611. The reversal of 83103606 is 60630138.

It is a self number, because there is not a number n which added to its sum of digits gives 83103606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11881 + ... + 17531.

It is an arithmetic number, because the mean of its divisors is an integer number (4041180).

Almost surely, 283103606 is an apocalyptic number.

83103606 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 83103606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96988320).

83103606 is an abundant number, since it is smaller than the sum of its proper divisors (110873034).

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

83103606 is a wasteful number, since it uses less digits than its factorization.

83103606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5721 (or 5718 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 83103606 is about 9116.1179237656. The cubic root of 83103606 is about 436.3884923578.

The spelling of 83103606 in words is "eighty-three million, one hundred three thousand, six hundred six".

Divisors: 1 2 3 6 9 18 19 38 43 57 86 114 129 171 258 342 387 774 817 1634 2451 4902 5651 7353 11302 14706 16953 33906 50859 101718 107369 214738 242993 322107 485986 644214 728979 966321 1457958 1932642 2186937 4373874 4616867 9233734 13850601 27701202 41551803 83103606