Search a number
-
+
103622656 = 211192663
BaseRepresentation
bin1100010110100…
…10100000000000
321012222120120011
412023102200000
5203011411111
614140554304
72365530604
oct613224000
9235876504
10103622656
1153546265
122a852994
13186116a7
14da95504
15916d021
hex62d2800

103622656 has 48 divisors (see below), whose sum is σ = 218181600. Its totient is φ = 49065984.

The previous prime is 103622627. The next prime is 103622671. The reversal of 103622656 is 656226301.

It is a super-3 number, since 3×1036226563 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37581 + ... + 40243.

It is an arithmetic number, because the mean of its divisors is an integer number (4545450).

Almost surely, 2103622656 is an apocalyptic number.

103622656 is a gapful number since it is divisible by the number (16) 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 103622656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109090800).

103622656 is an abundant number, since it is smaller than the sum of its proper divisors (114558944).

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

103622656 is an equidigital number, since it uses as much as digits as its factorization.

103622656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 103622656 is about 10179.5214032881. The cubic root of 103622656 is about 469.6974905626.

Adding to 103622656 its reverse (656226301), we get a palindrome (759848957).

The spelling of 103622656 in words is "one hundred three million, six hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1024 1216 2048 2432 2663 4864 5326 9728 10652 19456 21304 38912 42608 50597 85216 101194 170432 202388 340864 404776 681728 809552 1363456 1619104 2726912 3238208 5453824 6476416 12952832 25905664 51811328 103622656