Search a number
-
+
61130420 = 22513235117
BaseRepresentation
bin1110100100110…
…0011010110100
311021000202011122
43221030122310
5111122133140
610022123112
71341412541
oct351143264
9137022148
1061130420
113156320a
1218580498
13c884660
148193bc8
155577ab5
hex3a4c6b4

61130420 has 24 divisors (see below), whose sum is σ = 138249384. Its totient is φ = 22571136.

The previous prime is 61130417. The next prime is 61130423. The reversal of 61130420 is 2403116.

61130420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61130417) and next prime (61130423).

It can be written as a sum of positive squares in 4 ways, for example, as 71824 + 61058596 = 268^2 + 7814^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61130423) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 117299 + ... + 117818.

It is an arithmetic number, because the mean of its divisors is an integer number (5760391).

Almost surely, 261130420 is an apocalyptic number.

It is an amenable number.

61130420 is an abundant number, since it is smaller than the sum of its proper divisors (77118964).

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

61130420 is a wasteful number, since it uses less digits than its factorization.

61130420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235139 (or 235137 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 61130420 is about 7818.5945028502. The cubic root of 61130420 is about 393.9300639438.

Adding to 61130420 its reverse (2403116), we get a palindrome (63533536).

The spelling of 61130420 in words is "sixty-one million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 235117 470234 940468 1175585 2351170 3056521 4702340 6113042 12226084 15282605 30565210 61130420