[go: up one dir, main page]

Search a number
-
+
2513423000 = 235311415573
BaseRepresentation
bin1001010111001111…
…1100101010011000
320111011110010011202
42111303330222120
520121414014000
61053223213332
7116166512564
oct22563745230
96434403152
102513423000
11107a8419a0
125a18a7248
1331094c05a
1419bb466a4
15ea9ccdd5
hex95cfca98

2513423000 has 128 divisors (see below), whose sum is σ = 6573752640. Its totient is φ = 891520000.

The previous prime is 2513422997. The next prime is 2513423009. The reversal of 2513423000 is 3243152.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513423009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448214 + ... + 453786.

Almost surely, 22513423000 is an apocalyptic number.

2513423000 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 2513423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286876320).

2513423000 is an abundant number, since it is smaller than the sum of its proper divisors (4060329640).

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

2513423000 is a wasteful number, since it uses less digits than its factorization.

2513423000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5646 (or 5632 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2513423000 is about 50134.0503051569. The cubic root of 2513423000 is about 1359.6335157262.

Adding to 2513423000 its reverse (3243152), we get a palindrome (2516666152).

The spelling of 2513423000 in words is "two billion, five hundred thirteen million, four hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 125 164 200 205 220 250 275 328 410 440 451 500 550 820 902 1000 1025 1100 1375 1640 1804 2050 2200 2255 2750 3608 4100 4510 5125 5500 5573 8200 9020 10250 11000 11146 11275 18040 20500 22292 22550 27865 41000 44584 45100 55730 56375 61303 90200 111460 112750 122606 139325 222920 225500 228493 245212 278650 306515 451000 456986 490424 557300 613030 696625 913972 1114600 1142465 1226060 1393250 1532575 1827944 2284930 2452120 2513423 2786500 3065150 4569860 5026846 5573000 5712325 6130300 7662875 9139720 10053692 11424650 12260600 12567115 15325750 20107384 22849300 25134230 28561625 30651500 45698600 50268460 57123250 61303000 62835575 100536920 114246500 125671150 228493000 251342300 314177875 502684600 628355750 1256711500 2513423000