Search a number
-
+
1047040164 = 223253932
BaseRepresentation
bin111110011010001…
…001000010100100
32200222012011002100
4332122021002210
54121020241124
6251521412100
734642460142
oct7632110244
92628164070
101047040164
11498032855
1225279a030
13138bca2c1
149d0b4592
1561dc41c9
hex3e6890a4

1047040164 has 27 divisors (see below), whose sum is σ = 2647175713. Its totient is φ = 348948672.

The previous prime is 1047040151. The next prime is 1047040177. The reversal of 1047040164 is 4610407401.

The square root of 1047040164 is 32358.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1047040151) and next prime (1047040177).

It can be written as a sum of positive squares in only one way, i.e., 997928100 + 49112064 = 31590^2 + 7008^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 191452 + ... + 196844.

Almost surely, 21047040164 is an apocalyptic number.

1047040164 is the 32358-th square number.

It is an amenable number.

1047040164 is an abundant number, since it is smaller than the sum of its proper divisors (1600135549).

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

1047040164 is an frugal number, since it uses more digits than its factorization.

1047040164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10796 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The cubic root of 1047040164 is about 1015.4404210322.

Adding to 1047040164 its reverse (4610407401), we get a palindrome (5657447565).

The spelling of 1047040164 in words is "one billion, forty-seven million, forty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 5393 10786 16179 21572 32358 48537 64716 97074 194148 29084449 58168898 87253347 116337796 174506694 261760041 349013388 523520082 1047040164