Search a number
-
+
61760556 = 223411133143
BaseRepresentation
bin1110101110011…
…0010000101100
311022012202120000
43223212100230
5111302314211
610043424300
71346645634
oct353462054
9138182500
1061760556
1131953690
1218825090
13ca45410
1482b96c4
15564e656
hex3ae642c

61760556 has 240 divisors, whose sum is σ = 200352768. Its totient is φ = 16329600.

The previous prime is 61760539. The next prime is 61760561. The reversal of 61760556 is 65506716.

It is a happy number.

61760556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61760556.

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 79 ways as a sum of consecutive naturals, for example, 1436271 + ... + 1436313.

Almost surely, 261760556 is an apocalyptic number.

61760556 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61760556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100176384).

61760556 is an abundant number, since it is smaller than the sum of its proper divisors (138592212).

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

61760556 is a wasteful number, since it uses less digits than its factorization.

61760556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 61760556 is about 7858.7884562444. The cubic root of 61760556 is about 395.2789910647.

The spelling of 61760556 in words is "sixty-one million, seven hundred sixty thousand, five hundred fifty-six".