Search a number
-
+
261443300 = 225223711601
BaseRepresentation
bin11111001010101…
…00111011100100
3200012221200210012
433211110323210
51013412141200
641535345352
76323142236
oct1745247344
9605850705
10261443300
1112463a248
1273682258
134221b1a1
1426a18256
1517e44a35
hexf954ee4

261443300 has 72 divisors (see below), whose sum is σ = 600711552. Its totient is φ = 98560000.

The previous prime is 261443291. The next prime is 261443317. The reversal of 261443300 is 3344162.

It is a happy number.

It is a super-2 number, since 2×2614433002 = 136705198229780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162500 + ... + 164100.

It is an arithmetic number, because the mean of its divisors is an integer number (8343216).

Almost surely, 2261443300 is an apocalyptic number.

261443300 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 261443300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300355776).

261443300 is an abundant number, since it is smaller than the sum of its proper divisors (339268252).

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

261443300 is a wasteful number, since it uses less digits than its factorization.

261443300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 261443300 is about 16169.2083912602. The cubic root of 261443300 is about 639.4292600564.

Adding to 261443300 its reverse (3344162), we get a palindrome (264787462).

The spelling of 261443300 in words is "two hundred sixty-one million, four hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 71 92 100 115 142 230 284 355 460 575 710 1150 1420 1601 1633 1775 2300 3202 3266 3550 6404 6532 7100 8005 8165 16010 16330 32020 32660 36823 40025 40825 73646 80050 81650 113671 147292 160100 163300 184115 227342 368230 454684 568355 736460 920575 1136710 1841150 2273420 2614433 2841775 3682300 5228866 5683550 10457732 11367100 13072165 26144330 52288660 65360825 130721650 261443300