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26146640 = 2451331811
BaseRepresentation
bin110001110111…
…1011101010000
31211012101110002
41203233131100
523143143030
62332225132
7435146162
oct143573520
954171402
1026146640
11138393a3
12890b1a8
1355560b0
143688932
152467245
hex18ef750

26146640 has 80 divisors (see below), whose sum is σ = 67662336. Its totient is φ = 9331200.

The previous prime is 26146639. The next prime is 26146657. The reversal of 26146640 is 4664162.

It is a tau number, because it is divible by the number of its divisors (80).

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, 31835 + ... + 32645.

Almost surely, 226146640 is an apocalyptic number.

26146640 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 26146640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33831168).

26146640 is an abundant number, since it is smaller than the sum of its proper divisors (41515696).

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

26146640 is a wasteful number, since it uses less digits than its factorization.

26146640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 26146640 is about 5113.3785308737. The cubic root of 26146640 is about 296.8055123055.

The spelling of 26146640 in words is "twenty-six million, one hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 806 811 1040 1240 1612 1622 2015 2480 3224 3244 4030 4055 6448 6488 8060 8110 10543 12976 16120 16220 21086 25141 32240 32440 42172 50282 52715 64880 84344 100564 105430 125705 168688 201128 210860 251410 326833 402256 421720 502820 653666 843440 1005640 1307332 1634165 2011280 2614664 3268330 5229328 6536660 13073320 26146640