Search a number
-
+
2154132504 = 233289336163
BaseRepresentation
bin1000000001100101…
…0111010000011000
312120010101021021100
42000121113100120
513402424220004
6553430311400
7104244552456
oct20031272030
95503337240
102154132504
11a05a516a7
125014b8560
13284392224
1416613b9d6
15c91ab739
hex80657418

2154132504 has 48 divisors (see below), whose sum is σ = 5899678200. Its totient is φ = 709974144.

The previous prime is 2154132503. The next prime is 2154132511. The reversal of 2154132504 is 4052314512.

2154132504 is a `hidden beast` number, since 2 + 154 + 1 + 3 + 2 + 504 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154132503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161674 + ... + 174489.

Almost surely, 22154132504 is an apocalyptic number.

2154132504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2154132504 is an abundant number, since it is smaller than the sum of its proper divisors (3745545696).

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

2154132504 is a wasteful number, since it uses less digits than its factorization.

2154132504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336264 (or 336257 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2154132504 is about 46412.6330216246. The cubic root of 2154132504 is about 1291.4892769358.

It can be divided in two parts, 21541 and 32504, that added together give a palindrome (54045).

The spelling of 2154132504 in words is "two billion, one hundred fifty-four million, one hundred thirty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 6408 336163 672326 1008489 1344652 2016978 2689304 3025467 4033956 6050934 8067912 12101868 24203736 29918507 59837014 89755521 119674028 179511042 239348056 269266563 359022084 538533126 718044168 1077066252 2154132504