[go: up one dir, main page]

Search a number
-
+
107246736 = 24328632
BaseRepresentation
bin1100110010001…
…11010010010000
321110210200212100
412121013102100
5204423343421
614350400400
72441403462
oct631072220
9243720770
10107246736
11555a1073
122bb00100
13192b010c
141035a132
159636c26
hex6647490

107246736 has 45 divisors (see below), whose sum is σ = 300490099. Its totient is φ = 35707488.

The previous prime is 107246731. The next prime is 107246743. The reversal of 107246736 is 637642701.

The square root of 107246736 is 10356.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 107246736.

It is not an unprimeable number, because it can be changed into a prime (107246731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 123841 + ... + 124703.

Almost surely, 2107246736 is an apocalyptic number.

107246736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107246736 is the 10356-th square number.

It is an amenable number.

107246736 is an abundant number, since it is smaller than the sum of its proper divisors (193243363).

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

107246736 is an frugal number, since it uses more digits than its factorization.

107246736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The cubic root of 107246736 is about 475.1105722272.

Multiplying 107246736 by its sum of digits (36), we get a square (3860882496 = 621362).

107246736 divided by its sum of digits (36) gives a square (2979076 = 17262).

The spelling of 107246736 in words is "one hundred seven million, two hundred forty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 863 1726 2589 3452 5178 6904 7767 10356 13808 15534 20712 31068 41424 62136 124272 744769 1489538 2234307 2979076 4468614 5958152 6702921 8937228 11916304 13405842 17874456 26811684 35748912 53623368 107246736