Search a number
-
+
1126022796 = 223431711579
BaseRepresentation
bin100001100011101…
…1011111010001100
32220110210212220000
41003013123322030
54301230212141
6303422324300
736622015203
oct10307337214
92813725800
101126022796
11528679658
12275129690
1314c3925a2
14a979423a
1568cc65b6
hex431dbe8c

1126022796 has 120 divisors (see below), whose sum is σ = 3083351040. Its totient is φ = 357890400.

The previous prime is 1126022791. The next prime is 1126022797. The reversal of 1126022796 is 6972206211.

It is a super-2 number, since 2×11260227962 = 2535854674223315232, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1126022796.

It is not an unprimeable number, because it can be changed into a prime (1126022791) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 712335 + ... + 713913.

It is an arithmetic number, because the mean of its divisors is an integer number (25694592).

Almost surely, 21126022796 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 1126022796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541675520).

1126022796 is an abundant number, since it is smaller than the sum of its proper divisors (1957328244).

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

1126022796 is a wasteful number, since it uses less digits than its factorization.

1126022796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1126022796 is about 33556.2631411783. The cubic root of 1126022796 is about 1040.3570014517.

The spelling of 1126022796 in words is "one billion, one hundred twenty-six million, twenty-two thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 71 81 93 108 124 142 162 186 213 279 284 324 372 426 558 639 837 852 1116 1278 1579 1674 1917 2201 2511 2556 3158 3348 3834 4402 4737 5022 5751 6316 6603 7668 8804 9474 10044 11502 13206 14211 18948 19809 23004 26412 28422 39618 42633 48949 56844 59427 79236 85266 97898 112109 118854 127899 146847 170532 178281 195796 224218 237708 255798 293694 336327 356562 440541 448436 511596 587388 672654 713124 881082 1008981 1321623 1345308 1762164 2017962 2643246 3026943 3475379 3964869 4035924 5286492 6053886 6950758 7929738 9080829 10426137 12107772 13901516 15859476 18161658 20852274 31278411 36323316 41704548 62556822 93835233 125113644 187670466 281505699 375340932 563011398 1126022796