Search a number
-
+
26043160 = 235111329157
BaseRepresentation
bin110001101011…
…0001100011000
31211000010111111
41203112030120
523131340120
62330110104
7434235403
oct143261430
954003444
1026043160
1113778680
12887b334
13551ac70
14365cd3a
15244675a
hex18d6318

26043160 has 128 divisors (see below), whose sum is σ = 71668800. Its totient is φ = 8386560.

The previous prime is 26043151. The next prime is 26043169. The reversal of 26043160 is 6134062.

It is an interprime number because it is at equal distance from previous prime (26043151) and next prime (26043169).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26043169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165802 + ... + 165958.

Almost surely, 226043160 is an apocalyptic number.

26043160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26043160 is the 2552-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26043160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35834400).

26043160 is an abundant number, since it is smaller than the sum of its proper divisors (45625640).

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

26043160 is a wasteful number, since it uses less digits than its factorization.

26043160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 26043160 is about 5103.2499448881. The cubic root of 26043160 is about 296.4134410017.

The spelling of 26043160 in words is "twenty-six million, forty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 29 40 44 52 55 58 65 88 104 110 116 130 143 145 157 220 232 260 286 290 314 319 377 440 520 572 580 628 638 715 754 785 1144 1160 1256 1276 1430 1508 1570 1595 1727 1885 2041 2552 2860 3016 3140 3190 3454 3770 4082 4147 4553 5720 6280 6380 6908 7540 8164 8294 8635 9106 10205 12760 13816 15080 16328 16588 17270 18212 20410 20735 22451 22765 33176 34540 36424 40820 41470 44902 45530 50083 59189 69080 81640 82940 89804 91060 100166 112255 118378 165880 179608 182120 200332 224510 236756 250415 295945 400664 449020 473512 500830 591890 651079 898040 1001660 1183780 1302158 2003320 2367560 2604316 3255395 5208632 6510790 13021580 26043160