Search a number
-
+
107134580 = 22572109321
BaseRepresentation
bin1100110001010…
…11111001110100
321110121000000102
412120223321310
5204411301310
614344133232
72440425500
oct630537164
9243530012
10107134580
1155524883
122ba67218
1319271057
141032b300
1596138a5
hex662be74

107134580 has 36 divisors (see below), whose sum is σ = 261716868. Its totient is φ = 36731520.

The previous prime is 107134553. The next prime is 107134589. The reversal of 107134580 is 85431701.

It can be written as a sum of positive squares in 2 ways, for example, as 41654116 + 65480464 = 6454^2 + 8092^2 .

It is a super-2 number, since 2×1071345802 = 22955636463552800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107134589) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53681 + ... + 55640.

It is an arithmetic number, because the mean of its divisors is an integer number (7269913).

Almost surely, 2107134580 is an apocalyptic number.

107134580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107134580 is an abundant number, since it is smaller than the sum of its proper divisors (154582288).

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

107134580 is a wasteful number, since it uses less digits than its factorization.

107134580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109344 (or 109335 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 107134580 is about 10350.5835584280. The cubic root of 107134580 is about 474.9448948078.

The spelling of 107134580 in words is "one hundred seven million, one hundred thirty-four thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 109321 218642 437284 546605 765247 1093210 1530494 2186420 3060988 3826235 5356729 7652470 10713458 15304940 21426916 26783645 53567290 107134580