Search a number
-
+
260228892 = 223711225603
BaseRepresentation
bin11111000001011…
…00011100011100
3200010122222221010
433200230130130
51013104311032
641453335220
76306623550
oct1740543434
9603588833
10260228892
1112398a900
1273197510
1341bb44c1
14267bd860
1517ca4ccc
hexf82c71c

260228892 has 72 divisors (see below), whose sum is σ = 762794368. Its totient is φ = 67589280.

The previous prime is 260228879. The next prime is 260228893. The reversal of 260228892 is 298822062.

260228892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 260228892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260228893) 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, 2638 + ... + 22965.

Almost surely, 2260228892 is an apocalyptic number.

260228892 is a gapful number since it is divisible by the number (22) 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 260228892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381397184).

260228892 is an abundant number, since it is smaller than the sum of its proper divisors (502565476).

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

260228892 is a wasteful number, since it uses less digits than its factorization.

260228892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25639 (or 25626 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 260228892 is about 16131.6115747931. The cubic root of 260228892 is about 638.4376703577.

The spelling of 260228892 in words is "two hundred sixty million, two hundred twenty-eight thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1452 1694 2541 3388 5082 10164 25603 51206 76809 102412 153618 179221 281633 307236 358442 537663 563266 716884 844899 1075326 1126532 1689798 1971431 2150652 3097963 3379596 3942862 5914293 6195926 7885724 9293889 11828586 12391852 18587778 21685741 23657172 37175556 43371482 65057223 86742964 130114446 260228892