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10133328 = 2431071973
BaseRepresentation
bin100110101001…
…111101010000
3201001211022110
4212221331100
510043231303
61001105320
7152063142
oct46517520
921054273
1010133328
1157a1357
123488240
13213a46a
1414bac92
15d52703
hex9a9f50

10133328 has 40 divisors (see below), whose sum is σ = 26435808. Its totient is φ = 3344512.

The previous prime is 10133303. The next prime is 10133329. The reversal of 10133328 is 82333101.

It is a happy number.

10133328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4150 + ... + 6122.

Almost surely, 210133328 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 10133328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13217904).

10133328 is an abundant number, since it is smaller than the sum of its proper divisors (16302480).

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

10133328 is a wasteful number, since it uses less digits than its factorization.

10133328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 10133328 is about 3183.2888653090. The cubic root of 10133328 is about 216.3967331403.

Adding to 10133328 its reverse (82333101), we get a palindrome (92466429).

The spelling of 10133328 in words is "ten million, one hundred thirty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 1973 2568 3946 5136 5919 7892 11838 15784 23676 31568 47352 94704 211111 422222 633333 844444 1266666 1688888 2533332 3377776 5066664 10133328