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26274240 = 263353041
BaseRepresentation
bin110010000111…
…0100111000000
31211102212111000
41210032213000
523211233430
62335052000
7436220166
oct144164700
954385430
1026274240
1113916253
128971000
13559c1b5
1436bd236
15248ee60
hex190e9c0

26274240 has 112 divisors (see below), whose sum is σ = 92720160. Its totient is φ = 7004160.

The previous prime is 26274229. The next prime is 26274307. The reversal of 26274240 is 4247262.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7120 + ... + 10160.

Almost surely, 226274240 is an apocalyptic number.

26274240 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 26274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46360080).

26274240 is an abundant number, since it is smaller than the sum of its proper divisors (66445920).

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

26274240 is a wasteful number, since it uses less digits than its factorization.

26274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 26274240 is about 5125.8404188972. The cubic root of 26274240 is about 297.2875492835.

The spelling of 26274240 in words is "twenty-six million, two hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 3041 4320 6082 8640 9123 12164 15205 18246 24328 27369 30410 36492 45615 48656 54738 60820 72984 82107 91230 97312 109476 121640 136845 145968 164214 182460 194624 218952 243280 273690 291936 328428 364920 410535 437904 486560 547380 583872 656856 729840 821070 875808 973120 1094760 1313712 1459680 1642140 1751616 2189520 2627424 2919360 3284280 4379040 5254848 6568560 8758080 13137120 26274240