Search a number
-
+
613610420 = 2252921912
BaseRepresentation
bin100100100100101…
…111001110110100
31120202121122020212
4210210233032310
52224041013140
6140515444552
721130413443
oct4444571664
91522548225
10613610420
11295404655
121515b6758
139a1828b7
145b6cad5a
1538d0a765
hex2492f3b4

613610420 has 54 divisors (see below), whose sum is σ = 1341571686. Its totient is φ = 235739840.

The previous prime is 613610381. The next prime is 613610441. The reversal of 613610420 is 24016316.

It is a happy number.

613610420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 70627216 + 542983204 = 8404^2 + 23302^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3212525 + ... + 3212715.

Almost surely, 2613610420 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 613610420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670785843).

613610420 is an abundant number, since it is smaller than the sum of its proper divisors (727961266).

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

613610420 is a wasteful number, since it uses less digits than its factorization.

613610420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 613610420 is about 24771.1610547427. The cubic root of 613610420 is about 849.7625265096.

Adding to 613610420 its reverse (24016316), we get a palindrome (637626736).

The spelling of 613610420 in words is "six hundred thirteen million, six hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 191 290 382 580 764 841 955 1682 1910 3364 3820 4205 5539 8410 11078 16820 22156 27695 36481 55390 72962 110780 145924 160631 182405 321262 364810 642524 729620 803155 1057949 1606310 2115898 3212620 4231796 5289745 10579490 21158980 30680521 61361042 122722084 153402605 306805210 613610420