Search a number
-
+
103620692 = 22722332269
BaseRepresentation
bin1100010110100…
…10000001010100
321012222110212102
412023102001110
5203011330232
614140541232
72365522100
oct613220124
9235873772
10103620692
115354483a
122a851818
1318610826
14da94900
15916c662
hex62d2054

103620692 has 36 divisors (see below), whose sum is σ = 211940820. Its totient is φ = 44198784.

The previous prime is 103620691. The next prime is 103620703. The reversal of 103620692 is 296026301.

It can be written as a sum of positive squares in 2 ways, for example, as 11383876 + 92236816 = 3374^2 + 9604^2 .

It is a super-3 number, since 3×1036206923 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103620691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44534 + ... + 46802.

It is an arithmetic number, because the mean of its divisors is an integer number (5887245).

Almost surely, 2103620692 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103620692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105970410).

103620692 is an abundant number, since it is smaller than the sum of its proper divisors (108320128).

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

103620692 is a wasteful number, since it uses less digits than its factorization.

103620692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 103620692 is about 10179.4249346414. The cubic root of 103620692 is about 469.6945230915.

Adding to 103620692 its reverse (296026301), we get a palindrome (399646993).

The spelling of 103620692 in words is "one hundred three million, six hundred twenty thousand, six hundred ninety-two".

Divisors: 1 2 4 7 14 28 49 98 196 233 466 932 1631 2269 3262 4538 6524 9076 11417 15883 22834 31766 45668 63532 111181 222362 444724 528677 1057354 2114708 3700739 7401478 14802956 25905173 51810346 103620692