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26400990 = 23571121039
BaseRepresentation
bin110010010110…
…1100011011110
31211200022100110
41210231203132
523224312430
62341510450
7440255550
oct144554336
954608313
1026400990
11139a2500
128a12426
135614ab5
1437134d0
1524b77b0
hex192d8de

26400990 has 96 divisors (see below), whose sum is σ = 79672320. Its totient is φ = 5480640.

The previous prime is 26400989. The next prime is 26401003. The reversal of 26400990 is 9900462.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24891 + ... + 25929.

It is an arithmetic number, because the mean of its divisors is an integer number (829920).

Almost surely, 226400990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26400990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39836160).

26400990 is an abundant number, since it is smaller than the sum of its proper divisors (53271330).

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

26400990 is a wasteful number, since it uses less digits than its factorization.

26400990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 26400990 is about 5138.1893698072. The cubic root of 26400990 is about 297.7648325581.

The spelling of 26400990 in words is "twenty-six million, four hundred thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 121 154 165 210 231 242 330 363 385 462 605 726 770 847 1039 1155 1210 1694 1815 2078 2310 2541 3117 3630 4235 5082 5195 6234 7273 8470 10390 11429 12705 14546 15585 21819 22858 25410 31170 34287 36365 43638 57145 68574 72730 80003 109095 114290 125719 160006 171435 218190 240009 251438 342870 377157 400015 480018 628595 754314 800030 880033 1200045 1257190 1760066 1885785 2400090 2640099 3771570 4400165 5280198 8800330 13200495 26400990