Search a number
-
+
1330161504 = 25377192753
BaseRepresentation
bin100111101001000…
…1010011101100000
310102200221012112220
41033102022131200
510211010132004
6335553551040
744651120610
oct11722123540
93380835486
101330161504
11622929031
12311575480
13182768619
14c8932a40
157bb9bdd9
hex4f48a760

1330161504 has 96 divisors (see below), whose sum is σ = 3997486080. Its totient is φ = 379379712.

The previous prime is 1330161493. The next prime is 1330161509. The reversal of 1330161504 is 4051610331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330161509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481792 + ... + 484544.

It is an arithmetic number, because the mean of its divisors is an integer number (41640480).

Almost surely, 21330161504 is an apocalyptic number.

1330161504 is a gapful number since it is divisible by the number (14) 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 1330161504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998743040).

1330161504 is an abundant number, since it is smaller than the sum of its proper divisors (2667324576).

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

1330161504 is a wasteful number, since it uses less digits than its factorization.

1330161504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3492 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1330161504 is about 36471.3792445528. The cubic root of 1330161504 is about 1099.7689608433.

Adding to 1330161504 its reverse (4051610331), we get a palindrome (5381771835).

The spelling of 1330161504 in words is "one billion, three hundred thirty million, one hundred sixty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 719 1438 2157 2753 2876 4314 5033 5506 5752 8259 8628 10066 11012 11504 15099 16518 17256 19271 20132 22024 23008 30198 33036 34512 38542 40264 44048 57813 60396 66072 69024 77084 80528 88096 115626 120792 132144 154168 161056 231252 241584 264288 308336 462504 483168 616672 925008 1850016 1979407 3958814 5938221 7917628 11876442 13855849 15835256 23752884 27711698 31670512 41567547 47505768 55423396 63341024 83135094 95011536 110846792 166270188 190023072 221693584 332540376 443387168 665080752 1330161504