Search a number
-
+
26460160 = 21451719
BaseRepresentation
bin110010011110…
…0000000000000
31211210022111221
41210330000000
523233211120
62343044424
7440623216
oct144740000
954708457
1026460160
1113a32a01
128a40714
1356359cc
14372acb6
1524ca0aa
hex193c000

26460160 has 120 divisors (see below), whose sum is σ = 70776720. Its totient is φ = 9437184.

The previous prime is 26460157. The next prime is 26460163. The reversal of 26460160 is 6106462.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26460157) and next prime (26460163).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26460163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1392631 + ... + 1392649.

It is an arithmetic number, because the mean of its divisors is an integer number (589806).

Almost surely, 226460160 is an apocalyptic number.

26460160 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 26460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35388360).

26460160 is an abundant number, since it is smaller than the sum of its proper divisors (44316560).

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

26460160 is an equidigital number, since it uses as much as digits as its factorization.

26460160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 26460160 is about 5143.9440121370. The cubic root of 26460160 is about 297.9871171405.

The spelling of 26460160 in words is "twenty-six million, four hundred sixty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 64 68 76 80 85 95 128 136 152 160 170 190 256 272 304 320 323 340 380 512 544 608 640 646 680 760 1024 1088 1216 1280 1292 1360 1520 1615 2048 2176 2432 2560 2584 2720 3040 3230 4096 4352 4864 5120 5168 5440 6080 6460 8192 8704 9728 10240 10336 10880 12160 12920 16384 17408 19456 20480 20672 21760 24320 25840 34816 38912 40960 41344 43520 48640 51680 69632 77824 81920 82688 87040 97280 103360 139264 155648 165376 174080 194560 206720 278528 311296 330752 348160 389120 413440 661504 696320 778240 826880 1323008 1392640 1556480 1653760 2646016 3307520 5292032 6615040 13230080 26460160