Search a number
-
+
1026190872 = 233274347351
BaseRepresentation
bin111101001010100…
…110111000011000
32122111221220020100
4331022212320120
54100201101442
6245454455400
734300323060
oct7512467030
92574856210
101026190872
11487292433
12247804560
131347aa445
149a4083a0
156015684c
hex3d2a6e18

1026190872 has 96 divisors (see below), whose sum is σ = 3250241280. Its totient is φ = 286372800.

The previous prime is 1026190853. The next prime is 1026190933. The reversal of 1026190872 is 2780916201.

1026190872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10261908722 = 2106135411552240768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2004 + ... + 45347.

It is an arithmetic number, because the mean of its divisors is an integer number (33856680).

Almost surely, 21026190872 is an apocalyptic number.

1026190872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1026190872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625120640).

1026190872 is an abundant number, since it is smaller than the sum of its proper divisors (2224050408).

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

1026190872 is a wasteful number, since it uses less digits than its factorization.

1026190872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47413 (or 47406 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1026190872 is about 32034.2140843193. The cubic root of 1026190872 is about 1008.6551627006.

The spelling of 1026190872 in words is "one billion, twenty-six million, one hundred ninety thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 56 63 72 84 86 126 129 168 172 252 258 301 344 387 504 516 602 774 903 1032 1204 1548 1806 2408 2709 3096 3612 5418 7224 10836 21672 47351 94702 142053 189404 284106 331457 378808 426159 568212 662914 852318 994371 1136424 1325828 1704636 1988742 2036093 2651656 2983113 3409272 3977484 4072186 5966226 6108279 7954968 8144372 11932452 12216558 14252651 16288744 18324837 23864904 24433116 28505302 36649674 42757953 48866232 57010604 73299348 85515906 114021208 128273859 146598696 171031812 256547718 342063624 513095436 1026190872