Search a number
-
+
1330605864 = 233274216271
BaseRepresentation
bin100111101001111…
…0110111100101000
310102201202210002200
41033103312330220
510211113341424
6340011300200
744654651250
oct11723667450
93381683080
101330605864
11623101975
1231174a660
13182892963
14c8a0a960
157bc388c9
hex4f4f6f28

1330605864 has 96 divisors (see below), whose sum is σ = 4128983040. Its totient is φ = 379209600.

The previous prime is 1330605851. The next prime is 1330605919. The reversal of 1330605864 is 4685060331.

1330605864 is a `hidden beast` number, since 13 + 3 + 0 + 60 + 586 + 4 = 666.

It is a super-2 number, since 2×13306058642 = 3541023930622372992, which contains 22 as substring.

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

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, 209049 + ... + 215319.

It is an arithmetic number, because the mean of its divisors is an integer number (43010240).

Almost surely, 21330605864 is an apocalyptic number.

1330605864 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 1330605864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064491520).

1330605864 is an abundant number, since it is smaller than the sum of its proper divisors (2798377176).

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

1330605864 is a wasteful number, since it uses less digits than its factorization.

1330605864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6711 (or 6704 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1330605864 is about 36477.4706359967. The cubic root of 1330605864 is about 1099.8914118704.

The spelling of 1330605864 in words is "one billion, three hundred thirty million, six hundred five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 421 504 842 1263 1684 2526 2947 3368 3789 5052 5894 6271 7578 8841 10104 11788 12542 15156 17682 18813 23576 25084 26523 30312 35364 37626 43897 50168 53046 56439 70728 75252 87794 106092 112878 131691 150504 175588 212184 225756 263382 351176 395073 451512 526764 790146 1053528 1580292 2640091 3160584 5280182 7920273 10560364 15840546 18480637 21120728 23760819 31681092 36961274 47521638 55441911 63362184 73922548 95043276 110883822 147845096 166325733 190086552 221767644 332651466 443535288 665302932 1330605864