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61365680 = 245767071
BaseRepresentation
bin1110101000010…
…1110110110000
311021110200212222
43222011312300
5111202200210
610031140212
71343412455
oct352056660
9137420788
1061365680
1131703a42
1218674668
13c93776c
14821582c
1555c2655
hex3a85db0

61365680 has 20 divisors (see below), whose sum is σ = 142675392. Its totient is φ = 24546240.

The previous prime is 61365641. The next prime is 61365683. The reversal of 61365680 is 8656316.

61365680 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 (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 61365680.

It is not an unprimeable number, because it can be changed into a prime (61365683) 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 3 ways as a sum of consecutive naturals, for example, 383456 + ... + 383615.

Almost surely, 261365680 is an apocalyptic number.

It is an amenable number.

61365680 is an abundant number, since it is smaller than the sum of its proper divisors (81309712).

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

61365680 is a wasteful number, since it uses less digits than its factorization.

61365680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767084 (or 767078 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 61365680 is about 7833.6249591106. The cubic root of 61365680 is about 394.4347627650.

The spelling of 61365680 in words is "sixty-one million, three hundred sixty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 767071 1534142 3068284 3835355 6136568 7670710 12273136 15341420 30682840 61365680