Search a number
-
+
1165142484 = 2232119912969
BaseRepresentation
bin100010101110010…
…1010100111010100
310000012102101000100
41011130222213110
54341234024414
6311341014100
740605355602
oct10534524724
93005371010
101165142484
11548768880
12286254330
1315750b52c
14b0a58872
156c452609
hex4572a9d4

1165142484 has 72 divisors (see below), whose sum is σ = 3217294080. Its totient is φ = 352598400.

The previous prime is 1165142477. The next prime is 1165142497. The reversal of 1165142484 is 4842415611.

1165142484 is a `hidden beast` number, since 1 + 165 + 14 + 2 + 484 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390952 + ... + 393920.

It is an arithmetic number, because the mean of its divisors is an integer number (44684640).

Almost surely, 21165142484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1165142484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608647040).

1165142484 is an abundant number, since it is smaller than the sum of its proper divisors (2052151596).

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

1165142484 is a wasteful number, since it uses less digits than its factorization.

1165142484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981 (or 3976 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 1165142484 is about 34134.1835115475. The cubic root of 1165142484 is about 1052.2679576399.

The spelling of 1165142484 in words is "one billion, one hundred sixty-five million, one hundred forty-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 991 1982 2969 2973 3964 5938 5946 8907 8919 10901 11876 11892 17814 17838 21802 26721 32659 32703 35628 35676 43604 53442 65318 65406 97977 98109 106884 130636 130812 195954 196218 293931 391908 392436 587862 1175724 2942279 5884558 8826837 11769116 17653674 26480511 32365069 35307348 52961022 64730138 97095207 105922044 129460276 194190414 291285621 388380828 582571242 1165142484