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26240240 = 24513231097
BaseRepresentation
bin110010000011…
…0010011110000
31211101010211202
41210012103300
523204141430
62334230332
7436016105
oct144062360
954333752
1026240240
11138a2754
1289553a8
135589890
1436b0aac
152484d45
hex19064f0

26240240 has 80 divisors (see below), whose sum is σ = 68620608. Its totient is φ = 9259008.

The previous prime is 26240239. The next prime is 26240243. The reversal of 26240240 is 4204262.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26240243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23372 + ... + 24468.

Almost surely, 226240240 is an apocalyptic number.

26240240 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 26240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34310304).

26240240 is an abundant number, since it is smaller than the sum of its proper divisors (42380368).

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

26240240 is a wasteful number, since it uses less digits than its factorization.

26240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 26240240 is about 5122.5228159570. The cubic root of 26240240 is about 297.1592596257.

The spelling of 26240240 in words is "twenty-six million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 920 1040 1097 1196 1495 1840 2194 2392 2990 4388 4784 5485 5980 8776 10970 11960 14261 17552 21940 23920 25231 28522 43880 50462 57044 71305 87760 100924 114088 126155 142610 201848 228176 252310 285220 328003 403696 504620 570440 656006 1009240 1140880 1312012 1640015 2018480 2624024 3280030 5248048 6560060 13120120 26240240