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1112894964 = 22341132269
BaseRepresentation
bin100001001010101…
…0110110111110100
32212120002220220000
41002111112313310
54234400114324
6302233111300
736402310506
oct10225266764
92776086800
101112894964
11521222505
12270858530
1314974713c
14a7b37d76
1567a819c9
hex42556df4

1112894964 has 90 divisors (see below), whose sum is σ = 2946213270. Its totient is φ = 366315264.

The previous prime is 1112894957. The next prime is 1112894989. The reversal of 1112894964 is 4694982111.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 277222500 + 835672464 = 16650^2 + 28908^2 .

It is a super-2 number, since 2×11128949642 = 2477070401793122592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4137022 + ... + 4137290.

It is an arithmetic number, because the mean of its divisors is an integer number (32735703).

Almost surely, 21112894964 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 1112894964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473106635).

1112894964 is an abundant number, since it is smaller than the sum of its proper divisors (1833318306).

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

1112894964 is a wasteful number, since it uses less digits than its factorization.

1112894964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 387 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 1112894964 is about 33360.0803955866. The cubic root of 1112894964 is about 1036.2981568552.

The spelling of 1112894964 in words is "one billion, one hundred twelve million, eight hundred ninety-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 269 324 339 452 538 678 807 1017 1076 1356 1614 2034 2421 3051 3228 4068 4842 6102 7263 9153 9684 12204 12769 14526 18306 21789 25538 29052 30397 36612 38307 43578 51076 60794 76614 87156 91191 114921 121588 153228 182382 229842 273573 344763 364764 459684 547146 689526 820719 1034289 1094292 1379052 1641438 2068578 2462157 3282876 3434861 4137156 4924314 6869722 9848628 10304583 13739444 20609166 30913749 41218332 61827498 92741247 123654996 185482494 278223741 370964988 556447482 1112894964