Search a number
-
+
26124240 = 24351719337
BaseRepresentation
bin110001110100…
…1111111010000
31211011020201110
41203221333100
523141433430
62331533320
7435023652
oct143517720
954136643
1026124240
111382358a
1288ba240
135548b3c
1436806d2
1524607b0
hex18e9fd0

26124240 has 160 divisors (see below), whose sum is σ = 90529920. Its totient is φ = 6193152.

The previous prime is 26124233. The next prime is 26124253. The reversal of 26124240 is 4242162.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77352 + ... + 77688.

It is an arithmetic number, because the mean of its divisors is an integer number (565812).

Almost surely, 226124240 is an apocalyptic number.

26124240 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 26124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45264960).

26124240 is an abundant number, since it is smaller than the sum of its proper divisors (64405680).

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

26124240 is a wasteful number, since it uses less digits than its factorization.

26124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 26124240 is about 5111.1877288943. The cubic root of 26124240 is about 296.7207296723.

The spelling of 26124240 in words is "twenty-six million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 30 34 38 40 48 51 57 60 68 76 80 85 95 102 114 120 136 152 170 190 204 228 240 255 272 285 304 323 337 340 380 408 456 510 570 646 674 680 760 816 912 969 1011 1020 1140 1292 1348 1360 1520 1615 1685 1938 2022 2040 2280 2584 2696 3230 3370 3876 4044 4080 4560 4845 5055 5168 5392 5729 6403 6460 6740 7752 8088 9690 10110 11458 12806 12920 13480 15504 16176 17187 19209 19380 20220 22916 25612 25840 26960 28645 32015 34374 38418 38760 40440 45832 51224 57290 64030 68748 76836 77520 80880 85935 91664 96045 102448 108851 114580 128060 137496 153672 171870 192090 217702 229160 256120 274992 307344 326553 343740 384180 435404 458320 512240 544255 653106 687480 768360 870808 1088510 1306212 1374960 1536720 1632765 1741616 2177020 2612424 3265530 4354040 5224848 6531060 8708080 13062120 26124240