Search a number
-
+
1036964145 = 35727893541
BaseRepresentation
bin111101110011101…
…101000100110001
32200021020020101110
4331303231010301
54110430323040
6250521423533
734461023040
oct7563550461
92607206343
101036964145
11492380568
1224b33aba9
13136aacc69
149ba10557
1561083980
hex3dced131

1036964145 has 32 divisors (see below), whose sum is σ = 1897378560. Its totient is φ = 473736960.

The previous prime is 1036964143. The next prime is 1036964161. The reversal of 1036964145 is 5414696301.

It is not a de Polignac number, because 1036964145 - 21 = 1036964143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1036964143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291075 + ... + 294615.

It is an arithmetic number, because the mean of its divisors is an integer number (59293080).

Almost surely, 21036964145 is an apocalyptic number.

1036964145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1036964145 is a deficient number, since it is larger than the sum of its proper divisors (860414415).

1036964145 is a wasteful number, since it uses less digits than its factorization.

1036964145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345.

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 1036964145 is about 32201.9276596914. The cubic root of 1036964145 is about 1012.1726080648.

The spelling of 1036964145 in words is "one billion, thirty-six million, nine hundred sixty-four thousand, one hundred forty-five".

Divisors: 1 3 5 7 15 21 35 105 2789 3541 8367 10623 13945 17705 19523 24787 41835 53115 58569 74361 97615 123935 292845 371805 9875849 29627547 49379245 69130943 148137735 207392829 345654715 1036964145