Search a number
-
+
1164156460 = 225411917433
BaseRepresentation
bin100010101100011…
…1001111000101100
310000010120021102221
41011120321320230
54341011001320
6311303525124
740564111105
oct10530717054
93003507387
101164156460
11548154a85
12285a597a4
1315725479c
14b087d3ac
156c30a3aa
hex45639e2c

1164156460 has 48 divisors (see below), whose sum is σ = 2517806592. Its totient is φ = 451865600.

The previous prime is 1164156451. The next prime is 1164156473. The reversal of 1164156460 is 646514611.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152904 + ... + 160336.

It is an arithmetic number, because the mean of its divisors is an integer number (52454304).

Almost surely, 21164156460 is an apocalyptic number.

1164156460 is a gapful number since it is divisible by the number (10) 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 1164156460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258903296).

1164156460 is an abundant number, since it is smaller than the sum of its proper divisors (1353650132).

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

1164156460 is a wasteful number, since it uses less digits than its factorization.

1164156460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7674 (or 7672 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 1164156460 is about 34119.7371033248. The cubic root of 1164156460 is about 1051.9710399388.

The spelling of 1164156460 in words is "one billion, one hundred sixty-four million, one hundred fifty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 191 205 382 410 764 820 955 1910 3820 7433 7831 14866 15662 29732 31324 37165 39155 74330 78310 148660 156620 304753 609506 1219012 1419703 1523765 2839406 3047530 5678812 6095060 7098515 14197030 28394060 58207823 116415646 232831292 291039115 582078230 1164156460