[go: up one dir, main page]

Search a number
-
+
260324000 = 2553151431
BaseRepresentation
bin11111000010000…
…11101010100000
3200010211211101122
433201003222200
51013120332000
641455351412
76310501046
oct1741035240
9603754348
10260324000
11123a45302
1273222568
1341c18891
1426806396
1517cc3085
hexf843aa0

260324000 has 96 divisors (see below), whose sum is σ = 645345792. Its totient is φ = 103200000.

The previous prime is 260323991. The next prime is 260324003. The reversal of 260324000 is 423062.

It is a self number, because there is not a number n which added to its sum of digits gives 260324000.

It is not an unprimeable number, because it can be changed into a prime (260324003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 603785 + ... + 604215.

It is an arithmetic number, because the mean of its divisors is an integer number (6722352).

Almost surely, 2260324000 is an apocalyptic number.

260324000 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 260324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322672896).

260324000 is an abundant number, since it is smaller than the sum of its proper divisors (385021792).

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

260324000 is a wasteful number, since it uses less digits than its factorization.

260324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 260324000 is about 16134.5591820787. The cubic root of 260324000 is about 638.5154392450.

Adding to 260324000 its reverse (423062), we get a palindrome (260747062).

The spelling of 260324000 in words is "two hundred sixty million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 151 160 200 250 302 400 431 500 604 755 800 862 1000 1208 1510 1724 2000 2155 2416 3020 3448 3775 4000 4310 4832 6040 6896 7550 8620 10775 12080 13792 15100 17240 18875 21550 24160 30200 34480 37750 43100 53875 60400 65081 68960 75500 86200 107750 120800 130162 151000 172400 215500 260324 302000 325405 344800 431000 520648 604000 650810 862000 1041296 1301620 1627025 1724000 2082592 2603240 3254050 5206480 6508100 8135125 10412960 13016200 16270250 26032400 32540500 52064800 65081000 130162000 260324000