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10190024 = 231327537
BaseRepresentation
bin100110110111…
…110011001000
3201011201002022
4212313303020
510102040044
61002224012
7152420345
oct46676310
921151068
1010190024
11582aa09
1234b5008
13215a200
1414d37cc
15d643ee
hex9b7cc8

10190024 has 24 divisors (see below), whose sum is σ = 20691810. Its totient is φ = 4702464.

The previous prime is 10190009. The next prime is 10190027. The reversal of 10190024 is 42009101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4761124 + 5428900 = 2182^2 + 2330^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10189984 and 10190011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10190027) 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 5 ways as a sum of consecutive naturals, for example, 2417 + ... + 5120.

Almost surely, 210190024 is an apocalyptic number.

It is an amenable number.

10190024 is an abundant number, since it is smaller than the sum of its proper divisors (10501786).

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

10190024 is a wasteful number, since it uses less digits than its factorization.

10190024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7569 (or 7552 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 10190024 is about 3192.1816990892. The cubic root of 10190024 is about 216.7995629136.

Adding to 10190024 its reverse (42009101), we get a palindrome (52199125).

The spelling of 10190024 in words is "ten million, one hundred ninety thousand, twenty-four".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 7537 15074 30148 60296 97981 195962 391924 783848 1273753 2547506 5095012 10190024