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10332126 = 2327431907
BaseRepresentation
bin100111011010…
…011111011110
3201102221000100
4213122133132
510121112001
61005241530
7153551550
oct47323736
921387010
1010332126
115917752
1235632a6
1321a9aac
14152d4d0
15d91586
hex9da7de

10332126 has 48 divisors (see below), whose sum is σ = 26193024. Its totient is φ = 2881872.

The previous prime is 10332103. The next prime is 10332131. The reversal of 10332126 is 62123301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10332099 and 10332108.

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, 4465 + ... + 6371.

It is an arithmetic number, because the mean of its divisors is an integer number (545688).

Almost surely, 210332126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10332126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13096512).

10332126 is an abundant number, since it is smaller than the sum of its proper divisors (15860898).

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

10332126 is a wasteful number, since it uses less digits than its factorization.

10332126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 10332126 is about 3214.3624562267. The cubic root of 10332126 is about 217.8026859805.

Adding to 10332126 its reverse (62123301), we get a palindrome (72455427).

The spelling of 10332126 in words is "ten million, three hundred thirty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 774 903 1806 1907 2709 3814 5418 5721 11442 13349 17163 26698 34326 40047 80094 82001 120141 164002 240282 246003 492006 574007 738009 1148014 1476018 1722021 3444042 5166063 10332126