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26328420 = 223251071367
BaseRepresentation
bin110010001101…
…1110101100100
31211112121210200
41210123311210
523220002140
62340150500
7436534146
oct144336544
954477720
1026328420
1113952a28
128998430
1355baa61
1436d4c96
1524a1030
hex191bd64

26328420 has 72 divisors (see below), whose sum is σ = 80668224. Its totient is φ = 6950208.

The previous prime is 26328403. The next prime is 26328451. The reversal of 26328420 is 2482362.

26328420 is a `hidden beast` number, since 2 + 632 + 8 + 4 + 20 = 666.

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 23 ways as a sum of consecutive naturals, for example, 18577 + ... + 19943.

It is an arithmetic number, because the mean of its divisors is an integer number (1120392).

Almost surely, 226328420 is an apocalyptic number.

26328420 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 26328420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40334112).

26328420 is an abundant number, since it is smaller than the sum of its proper divisors (54339804).

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

26328420 is a wasteful number, since it uses less digits than its factorization.

26328420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 26328420 is about 5131.1226841696. The cubic root of 26328420 is about 297.4917541202.

The spelling of 26328420 in words is "twenty-six million, three hundred twenty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1367 1605 1926 2140 2734 3210 3852 4101 4815 5468 6420 6835 8202 9630 12303 13670 16404 19260 20505 24606 27340 41010 49212 61515 82020 123030 146269 246060 292538 438807 585076 731345 877614 1316421 1462690 1755228 2194035 2632842 2925380 4388070 5265684 6582105 8776140 13164210 26328420