Search a number
-
+
61245360 = 243251121937
BaseRepresentation
bin1110100110100…
…0011110110000
311021020120211200
43221220132300
5111134322420
610024411200
71342401621
oct351503660
9137216750
1061245360
1131631600
1218616b00
13c8c4a77
1481c3a48
15559bb90
hex3a687b0

61245360 has 360 divisors, whose sum is σ = 244411440. Its totient is φ = 13685760.

The previous prime is 61245337. The next prime is 61245377. The reversal of 61245360 is 6354216.

61245360 is a `hidden beast` number, since 6 + 124 + 536 + 0 = 666.

61245360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 1655262 + ... + 1655298.

Almost surely, 261245360 is an apocalyptic number.

61245360 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 61245360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122205720).

61245360 is an abundant number, since it is smaller than the sum of its proper divisors (183166080).

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

61245360 is a wasteful number, since it uses less digits than its factorization.

61245360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 61245360 is about 7825.9414769087. The cubic root of 61245360 is about 394.1768040179.

Adding to 61245360 its reverse (6354216), we get a palindrome (67599576).

The spelling of 61245360 in words is "sixty-one million, two hundred forty-five thousand, three hundred sixty".