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26868940 = 22573141151
BaseRepresentation
bin110011001111…
…1110011001100
31212120002020221
41212133303030
523334301230
62355521124
7444245050
oct146376314
955502227
1026868940
111419203a
128bb91a4
135749aa7
1437d5c60
15255b27a
hex199fccc

26868940 has 96 divisors (see below), whose sum is σ = 68640768. Its totient is φ = 8640000.

The previous prime is 26868923. The next prime is 26868953. The reversal of 26868940 is 4986862.

It is a happy number.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177865 + ... + 178015.

It is an arithmetic number, because the mean of its divisors is an integer number (715008).

Almost surely, 226868940 is an apocalyptic number.

26868940 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 26868940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34320384).

26868940 is an abundant number, since it is smaller than the sum of its proper divisors (41771828).

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

26868940 is a wasteful number, since it uses less digits than its factorization.

26868940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 26868940 is about 5183.5258270795. The cubic root of 26868940 is about 299.5138050665.

The spelling of 26868940 in words is "twenty-six million, eight hundred sixty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 41 62 70 82 124 140 151 155 164 205 217 287 302 310 410 434 574 604 620 755 820 868 1057 1085 1148 1271 1435 1510 2114 2170 2542 2870 3020 4228 4340 4681 5084 5285 5740 6191 6355 8897 9362 10570 12382 12710 17794 18724 21140 23405 24764 25420 30955 32767 35588 43337 44485 46810 61910 65534 86674 88970 93620 123820 131068 163835 173348 177940 191921 216685 327670 383842 433370 655340 767684 866740 959605 1343447 1919210 2686894 3838420 5373788 6717235 13434470 26868940