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1112400828 = 22327111921121
BaseRepresentation
bin100001001001101…
…1110001110111100
32212112011211001200
41002103132032330
54234233311303
6302214335500
736365152050
oct10223361674
92775154050
101112400828
11520a15230
1227065a590
13149603256
14a7a49c60
15679d53a3
hex424de3bc

1112400828 has 144 divisors (see below), whose sum is σ = 3690435840. Its totient is φ = 273715200.

The previous prime is 1112400827. The next prime is 1112400833. The reversal of 1112400828 is 8280042111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112400823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42108 + ... + 63228.

Almost surely, 21112400828 is an apocalyptic number.

1112400828 is a gapful number since it is divisible by the number (18) 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 1112400828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845217920).

1112400828 is an abundant number, since it is smaller than the sum of its proper divisors (2578035012).

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

1112400828 is a wasteful number, since it uses less digits than its factorization.

1112400828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21168 (or 21163 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1112400828 is about 33352.6734760499. The cubic root of 1112400828 is about 1036.1447587210.

Adding to 1112400828 its reverse (8280042111), we get a palindrome (9392442939).

The spelling of 1112400828 in words is "one billion, one hundred twelve million, four hundred thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 19 21 22 28 33 36 38 42 44 57 63 66 76 77 84 99 114 126 132 133 154 171 198 209 228 231 252 266 308 342 396 399 418 462 532 627 684 693 798 836 924 1197 1254 1386 1463 1596 1881 2394 2508 2772 2926 3762 4389 4788 5852 7524 8778 13167 17556 21121 26334 42242 52668 63363 84484 126726 147847 190089 232331 253452 295694 380178 401299 443541 464662 591388 696993 760356 802598 887082 929324 1203897 1330623 1393986 1605196 1626317 1774164 2090979 2407794 2661246 2787972 2809093 3252634 3611691 4181958 4414289 4815588 4878951 5322492 5618186 6505268 7223382 8363916 8427279 8828578 9757902 11236372 13242867 14446764 14636853 16854558 17657156 19515804 25281837 26485734 29273706 30900023 33709116 39728601 50563674 52971468 58547412 61800046 79457202 92700069 101127348 123600092 158914404 185400138 278100207 370800276 556200414 1112400828