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10190144 = 26891789
BaseRepresentation
bin100110110111…
…110101000000
3201011201020202
4212313311000
510102041034
61002224332
7152420606
oct46676500
921151222
1010190144
115830008
1234b50a8
13215a293
1414d3876
15d6447e
hex9b7d40

10190144 has 28 divisors (see below), whose sum is σ = 20459700. Its totient is φ = 5035008.

The previous prime is 10190129. The next prime is 10190153. The reversal of 10190144 is 44109101.

10190144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6190144 + 4000000 = 2488^2 + 2000^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4802 + ... + 6590.

Almost surely, 210190144 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 10190144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10229850).

10190144 is an abundant number, since it is smaller than the sum of its proper divisors (10269556).

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

10190144 is an equidigital number, since it uses as much as digits as its factorization.

10190144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 10190144 is about 3192.2004949564. The cubic root of 10190144 is about 216.8004139369.

Adding to 10190144 its reverse (44109101), we get a palindrome (54299245).

The spelling of 10190144 in words is "ten million, one hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 89 178 356 712 1424 1789 2848 3578 5696 7156 14312 28624 57248 114496 159221 318442 636884 1273768 2547536 5095072 10190144