Search a number
-
+
612141460 = 225729314923
BaseRepresentation
bin100100011111001…
…000100110010100
31120122212000012221
4210133020212110
52223202011320
6140424152124
721112054660
oct4437104624
91518760187
10612141460
112945a0a37
12151008644
1399a8a0a8
145b4278a0
1538b1a3aa
hex247c8994

612141460 has 48 divisors (see below), whose sum is σ = 1474252416. Its totient is φ = 209146752.

The previous prime is 612141437. The next prime is 612141499. The reversal of 612141460 is 64141216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33559 + ... + 48481.

It is an arithmetic number, because the mean of its divisors is an integer number (30713592).

Almost surely, 2612141460 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 612141460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737126208).

612141460 is an abundant number, since it is smaller than the sum of its proper divisors (862110956).

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

612141460 is a wasteful number, since it uses less digits than its factorization.

612141460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15232 (or 15230 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 612141460 is about 24741.4926793029. The cubic root of 612141460 is about 849.0838849544.

Adding to 612141460 its reverse (64141216), we get a palindrome (676282676).

The spelling of 612141460 in words is "six hundred twelve million, one hundred forty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 293 586 1172 1465 2051 2930 4102 5860 8204 10255 14923 20510 29846 41020 59692 74615 104461 149230 208922 298460 417844 522305 1044610 2089220 4372439 8744878 17489756 21862195 30607073 43724390 61214146 87448780 122428292 153035365 306070730 612141460