Search a number
-
+
260102624 = 25292411163
BaseRepresentation
bin11111000000011…
…01100111100000
3200010102120201112
433200031213200
51013041240444
641450522452
76305556455
oct1740154740
9603376645
10260102624
11123903a51
1273136428
1341b6bba2
142678982c
1517c7c69e
hexf80d9e0

260102624 has 48 divisors (see below), whose sum is σ = 532390320. Its totient is φ = 124938240.

The previous prime is 260102603. The next prime is 260102629. The reversal of 260102624 is 426201062.

It is a self number, because there is not a number n which added to its sum of digits gives 260102624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260102629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223067 + ... + 224229.

It is an arithmetic number, because the mean of its divisors is an integer number (11091465).

Almost surely, 2260102624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260102624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266195160).

260102624 is an abundant number, since it is smaller than the sum of its proper divisors (272287696).

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

260102624 is a wasteful number, since it uses less digits than its factorization.

260102624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 260102624 is about 16127.6974177965. The cubic root of 260102624 is about 638.3343929581.

Adding to 260102624 its reverse (426201062), we get a palindrome (686303686).

The spelling of 260102624 in words is "two hundred sixty million, one hundred two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 241 464 482 928 964 1163 1928 2326 3856 4652 6989 7712 9304 13978 18608 27956 33727 37216 55912 67454 111824 134908 223648 269816 280283 539632 560566 1079264 1121132 2242264 4484528 8128207 8969056 16256414 32512828 65025656 130051312 260102624