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2520430000 = 24541122083
BaseRepresentation
bin1001011000111010…
…1011010110110000
320111122122002222021
42112032223112300
520130212230000
61054033321224
7116313205264
oct22616532660
96448562867
102520430000
111083798400
125a4106214
133122334ca
1419ca4c0a4
15eb41411a
hex963ab5b0

2520430000 has 150 divisors (see below), whose sum is σ = 6710611292. Its totient is φ = 916080000.

The previous prime is 2520429997. The next prime is 2520430007. The reversal of 2520430000 is 340252.

2520430000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2520430007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1208959 + ... + 1211041.

Almost surely, 22520430000 is an apocalyptic number.

2520430000 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 2520430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355305646).

2520430000 is an abundant number, since it is smaller than the sum of its proper divisors (4190181292).

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

2520430000 is a wasteful number, since it uses less digits than its factorization.

2520430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 2520430000 is about 50203.8843118737. The cubic root of 2520430000 is about 1360.8958198365.

Adding to 2520430000 its reverse (340252), we get a palindrome (2520770252).

The spelling of 2520430000 in words is "two billion, five hundred twenty million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 625 880 968 1000 1100 1210 1250 1375 1936 2000 2083 2200 2420 2500 2750 3025 4166 4400 4840 5000 5500 6050 6875 8332 9680 10000 10415 11000 12100 13750 15125 16664 20830 22000 22913 24200 27500 30250 33328 41660 45826 48400 52075 55000 60500 75625 83320 91652 104150 110000 114565 121000 151250 166640 183304 208300 229130 242000 252043 260375 302500 366608 416600 458260 504086 520750 572825 605000 833200 916520 1008172 1041500 1145650 1210000 1260215 1301875 1833040 2016344 2083000 2291300 2520430 2603750 2864125 4032688 4166000 4582600 5040860 5207500 5728250 6301075 9165200 10081720 10415000 11456500 12602150 14320625 20163440 20830000 22913000 25204300 28641250 31505375 45826000 50408600 57282500 63010750 100817200 114565000 126021500 157526875 229130000 252043000 315053750 504086000 630107500 1260215000 2520430000