Search a number
-
+
61307936 = 253136121
BaseRepresentation
bin1110100111011…
…1110000100000
311021100202200022
43221313300200
5111143323221
610030013012
71343052224
oct351676040
9137322608
1061307936
1131674618
1218647168
13c9173b1
1481dc784
1555b04ab
hex3a77c20

61307936 has 24 divisors (see below), whose sum is σ = 121105404. Its totient is φ = 30551040.

The previous prime is 61307923. The next prime is 61307951. The reversal of 61307936 is 63970316.

61307936 = T91 + T92 + ... + T716.

61307936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 43296400 + 18011536 = 6580^2 + 4244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 61307896 and 61307905.

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 3 ways as a sum of consecutive naturals, for example, 6956 + ... + 13076.

Almost surely, 261307936 is an apocalyptic number.

It is an amenable number.

61307936 is a deficient number, since it is larger than the sum of its proper divisors (59797468).

61307936 is a wasteful number, since it uses less digits than its factorization.

61307936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6444 (or 6436 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 35.

The square root of 61307936 is about 7829.9384416482. The cubic root of 61307936 is about 394.3110052690.

The spelling of 61307936 in words is "sixty-one million, three hundred seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 313 626 1252 2504 5008 6121 10016 12242 24484 48968 97936 195872 1915873 3831746 7663492 15326984 30653968 61307936