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1053506190 = 235114217583
BaseRepresentation
bin111110110010110…
…011101010001110
32201102100122210210
4332302303222032
54124144144230
6252312143250
735051440422
oct7662635216
92642318723
101053506190
114a0749880
12254997b26
1313a352459
149dcb8b82
156274eeb0
hex3ecb3a8e

1053506190 has 64 divisors (see below), whose sum is σ = 2765187072. Its totient is φ = 254755200.

The previous prime is 1053506177. The next prime is 1053506213. The reversal of 1053506190 is 916053501.

It is a super-2 number, since 2×10535061902 = 2219750584736632200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135139 + ... + 142721.

It is an arithmetic number, because the mean of its divisors is an integer number (43206048).

Almost surely, 21053506190 is an apocalyptic number.

1053506190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053506190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382593536).

1053506190 is an abundant number, since it is smaller than the sum of its proper divisors (1711680882).

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

1053506190 is a wasteful number, since it uses less digits than its factorization.

1053506190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8025.

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 1053506190 is about 32457.7600890758. The cubic root of 1053506190 is about 1017.5264264779.

Adding to 1053506190 its reverse (916053501), we get a palindrome (1969559691).

The spelling of 1053506190 in words is "one billion, fifty-three million, five hundred six thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 421 842 1263 2105 2526 4210 4631 6315 7583 9262 12630 13893 15166 22749 23155 27786 37915 45498 46310 69465 75830 83413 113745 138930 166826 227490 250239 417065 500478 834130 1251195 2502390 3192443 6384886 9577329 15962215 19154658 31924430 35116873 47886645 70233746 95773290 105350619 175584365 210701238 351168730 526753095 1053506190