Search a number
-
+
4204100240 = 24570197487
BaseRepresentation
bin1111101010010101…
…0111101010010000
3101211222202102100022
43322211113222100
532102222201430
61533100243012
7206116156004
oct37245275220
911758672308
104204100240
11186811780a
12993b40468
1351ccb30a2
142bc4c2704
1519913e4e5
hexfa957a90

4204100240 has 40 divisors (see below), whose sum is σ = 9777231360. Its totient is φ = 1681175936.

The previous prime is 4204100233. The next prime is 4204100249. The reversal of 4204100240 is 420014024.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (4204100249) by changing a digit.

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, 557777 + ... + 565263.

It is an arithmetic number, because the mean of its divisors is an integer number (244430784).

Almost surely, 24204100240 is an apocalyptic number.

4204100240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4204100240 is an abundant number, since it is smaller than the sum of its proper divisors (5573131120).

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

4204100240 is a wasteful number, since it uses less digits than its factorization.

4204100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14519 (or 14513 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4204100240 is about 64839.0333055637. The cubic root of 4204100240 is about 1613.9535105537.

Adding to 4204100240 its reverse (420014024), we get a palindrome (4624114264).

The spelling of 4204100240 in words is "four billion, two hundred four million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 7019 7487 14038 14974 28076 29948 35095 37435 56152 59896 70190 74870 112304 119792 140380 149740 280760 299480 561520 598960 52551253 105102506 210205012 262756265 420410024 525512530 840820048 1051025060 2102050120 4204100240