Search a number
-
+
260544420 = 22325612389
BaseRepresentation
bin11111000011110…
…01011110100100
3200011021000202100
433201321132210
51013144410140
641504212100
76312406503
oct1741713644
9604230670
10260544420
11124085974
127330a030
1341c94cc6
142686283a
1517d18530
hexf8797a4

260544420 has 108 divisors (see below), whose sum is σ = 805552020. Its totient is φ = 68163840.

The previous prime is 260544409. The next prime is 260544421. The reversal of 260544420 is 24445062.

It can be written as a sum of positive squares in 6 ways, for example, as 137733696 + 122810724 = 11736^2 + 11082^2 .

It is not an unprimeable number, because it can be changed into a prime (260544421) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 669586 + ... + 669974.

It is an arithmetic number, because the mean of its divisors is an integer number (7458815).

Almost surely, 2260544420 is an apocalyptic number.

260544420 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 260544420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402776010).

260544420 is an abundant number, since it is smaller than the sum of its proper divisors (545007600).

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

260544420 is a wasteful number, since it uses less digits than its factorization.

260544420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 260544420 is about 16141.3884161184. The cubic root of 260544420 is about 638.6956017465.

Adding to 260544420 its reverse (24445062), we get a palindrome (284989482).

The spelling of 260544420 in words is "two hundred sixty million, five hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 389 549 610 732 778 915 1098 1167 1220 1556 1830 1945 2196 2334 2745 3501 3660 3721 3890 4668 5490 5835 7002 7442 7780 10980 11163 11670 14004 14884 17505 18605 22326 23340 23729 33489 35010 37210 44652 47458 55815 66978 70020 71187 74420 94916 111630 118645 133956 142374 167445 213561 223260 237290 284748 334890 355935 427122 474580 669780 711870 854244 1067805 1423740 1447469 2135610 2894938 4271220 4342407 5789876 7237345 8684814 13027221 14474690 17369628 21712035 26054442 28949380 43424070 52108884 65136105 86848140 130272210 260544420