Search a number
-
+
100005320 = 23510922937
BaseRepresentation
bin1011111010111…
…11010111001000
320222011210111202
411331133113020
5201100132240
613531243332
72323013462
oct575372710
9228153452
10100005320
11514a5528
12295a9548
131794605c
14d3d3132
158ba6315
hex5f5f5c8

100005320 has 32 divisors (see below), whose sum is σ = 227086200. Its totient is φ = 39633408.

The previous prime is 100005319. The next prime is 100005343. The reversal of 100005320 is 23500001.

It can be written as a sum of positive squares in 4 ways, for example, as 77404804 + 22600516 = 8798^2 + 4754^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7109 + ... + 15828.

Almost surely, 2100005320 is an apocalyptic number.

100005320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100005320 is an abundant number, since it is smaller than the sum of its proper divisors (127080880).

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

100005320 is a wasteful number, since it uses less digits than its factorization.

100005320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23057 (or 23053 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 100005320 is about 10000.2659964623. The cubic root of 100005320 is about 464.1671142995.

Adding to 100005320 its reverse (23500001), we get a palindrome (123505321).

The spelling of 100005320 in words is "one hundred million, five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 872 1090 2180 4360 22937 45874 91748 114685 183496 229370 458740 917480 2500133 5000266 10000532 12500665 20001064 25001330 50002660 100005320