Search a number
-
+
2423504000 = 2753167907
BaseRepresentation
bin1001000001110011…
…1011110010000000
320020220020202111102
42100130323302000
514430404112000
61040252033532
7114025305221
oct22034736200
96226222442
102423504000
111034006475
125777628a8
132c8127c48
1418dc1b248
15e2b6a3d5
hex9073bc80

2423504000 has 128 divisors (see below), whose sum is σ = 6068200320. Its totient is φ = 962534400.

The previous prime is 2423503993. The next prime is 2423504009. The reversal of 2423504000 is 4053242.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2423504009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2671547 + ... + 2672453.

It is an arithmetic number, because the mean of its divisors is an integer number (47407815).

Almost surely, 22423504000 is an apocalyptic number.

2423504000 is a gapful number since it is divisible by the number (20) 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 2423504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034100160).

2423504000 is an abundant number, since it is smaller than the sum of its proper divisors (3644696320).

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

2423504000 is an equidigital number, since it uses as much as digits as its factorization.

2423504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2423504000 is about 49229.0970869871. The cubic root of 2423504000 is about 1343.2223628829. Note that the first 3 decimals are identical.

Adding to 2423504000 its reverse (4053242), we get a palindrome (2427557242).

The spelling of 2423504000 in words is "two billion, four hundred twenty-three million, five hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 167 200 250 320 334 400 500 640 668 800 835 907 1000 1336 1600 1670 1814 2000 2672 3200 3340 3628 4000 4175 4535 5344 6680 7256 8000 8350 9070 10688 13360 14512 16000 16700 18140 20875 21376 22675 26720 29024 33400 36280 41750 45350 53440 58048 66800 72560 83500 90700 106880 113375 116096 133600 145120 151469 167000 181400 226750 267200 290240 302938 334000 362800 453500 534400 580480 605876 668000 725600 757345 907000 1211752 1336000 1451200 1514690 1814000 2423504 2672000 2902400 3029380 3628000 3786725 4847008 6058760 7256000 7573450 9694016 12117520 14512000 15146900 18933625 19388032 24235040 30293800 37867250 48470080 60587600 75734500 96940160 121175200 151469000 242350400 302938000 484700800 605876000 1211752000 2423504000