Search a number
-
+
107273440 = 2551096151
BaseRepresentation
bin1100110010011…
…01110011100000
321110212001111101
412121031303200
5204430222230
614351124144
72441544361
oct631156340
9243761441
10107273440
115560a13a
122bb13654
13192bc311
1410365b68
15963eaca
hex664dce0

107273440 has 48 divisors (see below), whose sum is σ = 255800160. Its totient is φ = 42508800.

The previous prime is 107273401. The next prime is 107273443. The reversal of 107273440 is 44372701.

It is a junction number, because it is equal to n+sod(n) for n = 107273399 and 107273408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107273443) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14365 + ... + 20515.

It is an arithmetic number, because the mean of its divisors is an integer number (5329170).

Almost surely, 2107273440 is an apocalyptic number.

107273440 is a gapful number since it is divisible by the number (10) 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 107273440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127900080).

107273440 is an abundant number, since it is smaller than the sum of its proper divisors (148526720).

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

107273440 is a wasteful number, since it uses less digits than its factorization.

107273440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6275 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 107273440 is about 10357.2892206407. The cubic root of 107273440 is about 475.1500024865.

The spelling of 107273440 in words is "one hundred seven million, two hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 160 218 436 545 872 1090 1744 2180 3488 4360 6151 8720 12302 17440 24604 30755 49208 61510 98416 123020 196832 246040 492080 670459 984160 1340918 2681836 3352295 5363672 6704590 10727344 13409180 21454688 26818360 53636720 107273440