[go: up one dir, main page]

Search a number
-
+
61942320 = 2434511279
BaseRepresentation
bin1110110001001…
…0101000110000
311022112222220000
43230102220300
5111324123240
610051350000
71351333566
oct354225060
9138488800
1061942320
1131a68200
12188b2300
13caaa07b
148325a36
155688430
hex3b12a30

61942320 has 300 divisors, whose sum is σ = 239463840. Its totient is φ = 14826240.

The previous prime is 61942297. The next prime is 61942327. The reversal of 61942320 is 2324916.

61942320 is a `hidden beast` number, since 619 + 4 + 23 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61942327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 784041 + ... + 784119.

Almost surely, 261942320 is an apocalyptic number.

61942320 is a gapful number since it is divisible by the number (60) 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 61942320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119731920).

61942320 is an abundant number, since it is smaller than the sum of its proper divisors (177521520).

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

61942320 is a wasteful number, since it uses less digits than its factorization.

61942320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 61942320 is about 7870.3443380833. The cubic root of 61942320 is about 395.6663856888. Note that the first 3 decimals are identical.

The spelling of 61942320 in words is "sixty-one million, nine hundred forty-two thousand, three hundred twenty".