Search a number
-
+
1051244200 = 235229211859
BaseRepresentation
bin111110101010001…
…011011010101000
32201021002201221101
4332222023122220
54123104303300
6252151451144
735023266616
oct7652133250
92637081841
101051244200
1149a444366
12254086ab4
13139a3c9b6
149d88a6b6
1562454b6a
hex3ea8b6a8

1051244200 has 96 divisors (see below), whose sum is σ = 2543364000. Its totient is φ = 403603200.

The previous prime is 1051244197. The next prime is 1051244209. The reversal of 1051244200 is 24421501.

It is a super-2 number, since 2×10512442002 = 2210228736067280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1051244209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1223371 + ... + 1224229.

It is an arithmetic number, because the mean of its divisors is an integer number (26493375).

Almost surely, 21051244200 is an apocalyptic number.

1051244200 is a gapful number since it is divisible by the number (10) 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 1051244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271682000).

1051244200 is an abundant number, since it is smaller than the sum of its proper divisors (1492119800).

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

1051244200 is a wasteful number, since it uses less digits than its factorization.

1051244200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1051244200 is about 32422.8962309045. The cubic root of 1051244200 is about 1016.7976587763.

Adding to 1051244200 its reverse (24421501), we get a palindrome (1075665701).

The spelling of 1051244200 in words is "one billion, fifty-one million, two hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 211 232 290 422 580 725 844 859 1055 1160 1450 1688 1718 2110 2900 3436 4220 4295 5275 5800 6119 6872 8440 8590 10550 12238 17180 21100 21475 24476 24911 30595 34360 42200 42950 48952 49822 61190 85900 99644 122380 124555 152975 171800 181249 199288 244760 249110 305950 362498 498220 611900 622775 724996 906245 996440 1223800 1245550 1449992 1812490 2491100 3624980 4531225 4982200 5256221 7249960 9062450 10512442 18124900 21024884 26281105 36249800 42049768 52562210 105124420 131405525 210248840 262811050 525622100 1051244200