Search a number
-
+
112307780 = 225131725409
BaseRepresentation
bin1101011000110…
…10111001000100
321211022211022102
412230122321010
5212222322110
615051051232
72532412634
oct654327104
9254284272
10112307780
1158438552
1231740b18
131a362910
1410cb66c4
159cd65a5
hex6b1ae44

112307780 has 48 divisors (see below), whose sum is σ = 268939440. Its totient is φ = 39026688.

The previous prime is 112307759. The next prime is 112307791. The reversal of 112307780 is 87703211.

It can be written as a sum of positive squares in 8 ways, for example, as 14258176 + 98049604 = 3776^2 + 9902^2 .

It is a super-2 number, since 2×1123077802 = 25226074897056800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8285 + ... + 17124.

It is an arithmetic number, because the mean of its divisors is an integer number (5602905).

Almost surely, 2112307780 is an apocalyptic number.

112307780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112307780 is an abundant number, since it is smaller than the sum of its proper divisors (156631660).

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

112307780 is a wasteful number, since it uses less digits than its factorization.

112307780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25448 (or 25446 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 112307780 is about 10597.5365061886. The cubic root of 112307780 is about 482.4695927933.

The spelling of 112307780 in words is "one hundred twelve million, three hundred seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 25409 50818 101636 127045 254090 330317 431953 508180 660634 863906 1321268 1651585 1727812 2159765 3303170 4319530 5615389 6606340 8639060 11230778 22461556 28076945 56153890 112307780