Search a number
-
+
108603126 = 23319151701
BaseRepresentation
bin1100111100100…
…10011011110110
321120100121111000
412132102123312
5210300300001
614435424130
72456053122
oct636223366
9246317430
10108603126
1156338155
1230455046
1319666608
14105d0582
159803a86
hex67926f6

108603126 has 64 divisors (see below), whose sum is σ = 256089600. Its totient is φ = 34020000.

The previous prime is 108603083. The next prime is 108603127. The reversal of 108603126 is 621306801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 108603126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108603127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154576 + ... + 155276.

It is an arithmetic number, because the mean of its divisors is an integer number (4001400).

Almost surely, 2108603126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108603126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128044800).

108603126 is an abundant number, since it is smaller than the sum of its proper divisors (147486474).

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

108603126 is a wasteful number, since it uses less digits than its factorization.

108603126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 108603126 is about 10421.2823587119. The cubic root of 108603126 is about 477.1051546185.

Adding to 108603126 its reverse (621306801), we get a palindrome (729909927).

The spelling of 108603126 in words is "one hundred eight million, six hundred three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 151 171 302 342 453 513 701 906 1026 1359 1402 2103 2718 2869 4077 4206 5738 6309 8154 8607 12618 13319 17214 18927 25821 26638 37854 39957 51642 77463 79914 105851 119871 154926 211702 239742 317553 359613 635106 719226 952659 1905318 2011169 2857977 4022338 5715954 6033507 12067014 18100521 36201042 54301563 108603126