Search a number
-
+
26875260 = 22335157317
BaseRepresentation
bin110011010000…
…1010101111100
31212120101221000
41212201111330
523340002020
62400010300
7444302346
oct146412574
955511830
1026875260
1114196865
129000990
13574c929
1437d8296
15255d090
hex19a157c

26875260 has 96 divisors (see below), whose sum is σ = 84409920. Its totient is φ = 7098624.

The previous prime is 26875237. The next prime is 26875271. The reversal of 26875260 is 6257862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 84622 + ... + 84938.

It is an arithmetic number, because the mean of its divisors is an integer number (879270).

Almost surely, 226875260 is an apocalyptic number.

26875260 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 26875260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42204960).

26875260 is an abundant number, since it is smaller than the sum of its proper divisors (57534660).

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

26875260 is a wasteful number, since it uses less digits than its factorization.

26875260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 26875260 is about 5184.1354148980. The cubic root of 26875260 is about 299.5372866882.

The spelling of 26875260 in words is "twenty-six million, eight hundred seventy-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 157 180 270 314 317 471 540 628 634 785 942 951 1268 1413 1570 1585 1884 1902 2355 2826 2853 3140 3170 3804 4239 4710 4755 5652 5706 6340 7065 8478 8559 9420 9510 11412 14130 14265 16956 17118 19020 21195 28260 28530 34236 42390 42795 49769 57060 84780 85590 99538 149307 171180 199076 248845 298614 447921 497690 597228 746535 895842 995380 1343763 1493070 1791684 2239605 2687526 2986140 4479210 5375052 6718815 8958420 13437630 26875260