Search a number
-
+
4205400430 = 2571143157809
BaseRepresentation
bin1111101010101001…
…0101000101101110
3101212002012110212111
43322222111011232
532103040303210
61533144154234
7206133212440
oct37252250556
911762173774
104205400430
111868925650
1299446897a
13520349b2a
142bc740490
151992e988a
hexfaa9516e

4205400430 has 128 divisors (see below), whose sum is σ = 9730575360. Its totient is φ = 1270563840.

The previous prime is 4205400413. The next prime is 4205400467. The reversal of 4205400430 is 340045024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5197866 + ... + 5198674.

It is an arithmetic number, because the mean of its divisors is an integer number (76020120).

Almost surely, 24205400430 is an apocalyptic number.

4205400430 is an abundant number, since it is smaller than the sum of its proper divisors (5525174930).

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

4205400430 is a wasteful number, since it uses less digits than its factorization.

4205400430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034.

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 4205400430 is about 64849.0588212350. The cubic root of 4205400430 is about 1614.1198743260.

Adding to 4205400430 its reverse (340045024), we get a palindrome (4545445454).

The spelling of 4205400430 in words is "four billion, two hundred five million, four hundred thousand, four hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 43 55 70 77 86 110 154 157 215 301 314 385 430 473 602 770 785 809 946 1099 1505 1570 1618 1727 2198 2365 3010 3311 3454 4045 4730 5495 5663 6622 6751 8090 8635 8899 10990 11326 12089 13502 16555 17270 17798 24178 28315 33110 33755 34787 44495 47257 56630 60445 62293 67510 69574 74261 88990 94514 120890 124586 127013 148522 173935 236285 243509 254026 311465 347870 371305 382657 472570 487018 519827 622930 635065 742610 765314 889091 1039654 1217545 1270130 1397143 1778182 1913285 2435090 2599135 2678599 2794286 3826570 4445455 5198270 5357198 5461559 6985715 8890910 9780001 10923118 13392995 13971430 19560002 26785990 27307795 38230913 48900005 54615590 60077149 76461826 97800010 120154298 191154565 300385745 382309130 420540043 600771490 841080086 2102700215 4205400430