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10133412 = 2232937787
BaseRepresentation
bin100110101001…
…111110100100
3201001211102120
4212221332210
510043232122
61001105540
7152063322
oct46517644
921054376
1010133412
1157a1423
1234882b0
13213a503
1414bad12
15d5275c
hex9a9fa4

10133412 has 48 divisors (see below), whose sum is σ = 25152960. Its totient is φ = 3169152.

The previous prime is 10133399. The next prime is 10133413. The reversal of 10133412 is 21433101.

It is a junction number, because it is equal to n+sod(n) for n = 10133391 and 10133400.

It is not an unprimeable number, because it can be changed into a prime (10133413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12483 + ... + 13269.

It is an arithmetic number, because the mean of its divisors is an integer number (524020).

Almost surely, 210133412 is an apocalyptic number.

10133412 is a gapful number since it is divisible by the number (12) 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 10133412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12576480).

10133412 is an abundant number, since it is smaller than the sum of its proper divisors (15019548).

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

10133412 is a wasteful number, since it uses less digits than its factorization.

10133412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10133412 is about 3183.3020591832. The cubic root of 10133412 is about 216.3973310773.

Adding to 10133412 its reverse (21433101), we get a palindrome (31566513).

The spelling of 10133412 in words is "ten million, one hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 29 37 58 74 87 111 116 148 174 222 348 444 787 1073 1574 2146 2361 3148 3219 4292 4722 6438 9444 12876 22823 29119 45646 58238 68469 87357 91292 116476 136938 174714 273876 349428 844451 1688902 2533353 3377804 5066706 10133412