[go: up one dir, main page]

Search a number
-
+
1115105412 = 2231723435527
BaseRepresentation
bin100001001110111…
…0010100010000100
32212201021020001110
41002131302202010
54240431333122
6302352325020
736430145121
oct10235624204
92781236043
101115105412
115224a2223
12271543770
1314a03c2b5
14a8151748
1567d6b90c
hex42772884

1115105412 has 96 divisors (see below), whose sum is σ = 2942134272. Its totient is φ = 326785536.

The previous prime is 1115105393. The next prime is 1115105447. The reversal of 1115105412 is 2145015111.

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, 198993 + ... + 204519.

It is an arithmetic number, because the mean of its divisors is an integer number (30647232).

Almost surely, 21115105412 is an apocalyptic number.

1115105412 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 1115105412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471067136).

1115105412 is an abundant number, since it is smaller than the sum of its proper divisors (1827028860).

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

1115105412 is a wasteful number, since it uses less digits than its factorization.

1115105412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5617 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 21.

The square root of 1115105412 is about 33393.1940970013. The cubic root of 1115105412 is about 1036.9838065459.

The spelling of 1115105412 in words is "one billion, one hundred fifteen million, one hundred five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 23 34 43 46 51 68 69 86 92 102 129 138 172 204 258 276 391 516 731 782 989 1173 1462 1564 1978 2193 2346 2924 2967 3956 4386 4692 5527 5934 8772 11054 11868 16581 16813 22108 33162 33626 50439 66324 67252 93959 100878 127121 187918 201756 237661 254242 281877 375836 381363 475322 508484 563754 712983 762726 950644 1127508 1425966 1525452 2161057 2851932 4040237 4322114 5466203 6483171 8080474 8644228 10932406 12120711 12966342 16160948 16398609 21864812 24241422 25932684 32797218 48482844 65594436 92925451 185850902 278776353 371701804 557552706 1115105412