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26666420 = 22511532287
BaseRepresentation
bin110010110111…
…0010110110100
31212011210110012
41211232112310
523311311140
62351315352
7442442444
oct145562664
955153405
1026666420
1114063970
128b1bb58
1356a8861
143782124
15251b265
hex196e5b4

26666420 has 48 divisors (see below), whose sum is σ = 62270208. Its totient is φ = 9509760.

The previous prime is 26666411. The next prime is 26666429. The reversal of 26666420 is 2466662.

It is an interprime number because it is at equal distance from previous prime (26666411) and next prime (26666429).

It is a super-2 number, since 2×266664202 = 1422195911232800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26666429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10517 + ... + 12803.

It is an arithmetic number, because the mean of its divisors is an integer number (1297296).

Almost surely, 226666420 is an apocalyptic number.

26666420 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 26666420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31135104).

26666420 is an abundant number, since it is smaller than the sum of its proper divisors (35603788).

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

26666420 is a wasteful number, since it uses less digits than its factorization.

26666420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 26666420 is about 5163.9539114907. The cubic root of 26666420 is about 298.7593952567.

The spelling of 26666420 in words is "twenty-six million, six hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2287 2332 2915 4574 5830 9148 11435 11660 22870 25157 45740 50314 100628 121211 125785 242422 251570 484844 503140 606055 1212110 1333321 2424220 2666642 5333284 6666605 13333210 26666420