Search a number
-
+
4204042260 = 2235117387257
BaseRepresentation
bin1111101010010100…
…1001100000010100
3101211222122110210220
43322211021200110
532102213323020
61533055114340
7206115524655
oct37245114024
911758573726
104204042260
1118680881a0
12993b129b0
1351cc92892
142bc4a952c
1519912c240
hexfa949814

4204042260 has 96 divisors (see below), whose sum is σ = 13017497472. Its totient is φ = 1005189120.

The previous prime is 4204042243. The next prime is 4204042261. The reversal of 4204042260 is 622404024.

It is a self number, because there is not a number n which added to its sum of digits gives 4204042260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4204042261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4552 + ... + 91808.

It is an arithmetic number, because the mean of its divisors is an integer number (135598932).

Almost surely, 24204042260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4204042260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6508748736).

4204042260 is an abundant number, since it is smaller than the sum of its proper divisors (8813455212).

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

4204042260 is a wasteful number, since it uses less digits than its factorization.

4204042260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87353 (or 87351 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4204042260 is about 64838.5861968011. The cubic root of 4204042260 is about 1613.9460910149.

Adding to 4204042260 its reverse (622404024), we get a palindrome (4826446284).

The spelling of 4204042260 in words is "four billion, two hundred four million, forty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 73 110 132 146 165 219 220 292 330 365 438 660 730 803 876 1095 1460 1606 2190 2409 3212 4015 4380 4818 8030 9636 12045 16060 24090 48180 87257 174514 261771 349028 436285 523542 872570 959827 1047084 1308855 1745140 1919654 2617710 2879481 3839308 4799135 5235420 5758962 6369761 9598270 11517924 12739522 14397405 19109283 19196540 25479044 28794810 31848805 38218566 57589620 63697610 70067371 76437132 95546415 127395220 140134742 191092830 210202113 280269484 350336855 382185660 420404226 700673710 840808452 1051010565 1401347420 2102021130 4204042260