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10155104 = 252931353
BaseRepresentation
bin100110101111…
…010001100000
3201002221011222
4212233101200
510044430404
61001354212
7152213501
oct46572140
921087158
1010155104
115806753
123498968
13214734b
1414c4ba8
15d58dbe
hex9af460

10155104 has 48 divisors (see below), whose sum is σ = 21409920. Its totient is φ = 4730880.

The previous prime is 10155077. The next prime is 10155107. The reversal of 10155104 is 40155101.

It is a super-2 number, since 2×101551042 = 206252274501632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10155107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28592 + ... + 28944.

It is an arithmetic number, because the mean of its divisors is an integer number (446040).

Almost surely, 210155104 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 10155104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10704960).

10155104 is an abundant number, since it is smaller than the sum of its proper divisors (11254816).

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

10155104 is a wasteful number, since it uses less digits than its factorization.

10155104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 10155104 is about 3186.7073916505. The cubic root of 10155104 is about 216.5516307159.

The spelling of 10155104 in words is "ten million, one hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 29 31 32 58 62 116 124 232 248 353 464 496 706 899 928 992 1412 1798 2824 3596 5648 7192 10237 10943 11296 14384 20474 21886 28768 40948 43772 81896 87544 163792 175088 317347 327584 350176 634694 1269388 2538776 5077552 10155104