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26860240 = 24511131233
BaseRepresentation
bin110011001110…
…1101011010000
31212112122022201
41212131223100
523334011430
62355412544
7444210511
oct146355320
955478281
1026860240
1114186550
128bb4154
135745b44
1437d2a08
1525588ca
hex199dad0

26860240 has 80 divisors (see below), whose sum is σ = 68942016. Its totient is φ = 9651200.

The previous prime is 26860231. The next prime is 26860247. The reversal of 26860240 is 4206862.

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

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 26860199 and 26860208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26860247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115164 + ... + 115396.

Almost surely, 226860240 is an apocalyptic number.

26860240 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 26860240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34471008).

26860240 is an abundant number, since it is smaller than the sum of its proper divisors (42081776).

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

26860240 is a wasteful number, since it uses less digits than its factorization.

26860240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 26860240 is about 5182.6865620062. The cubic root of 26860240 is about 299.4814746583.

The spelling of 26860240 in words is "twenty-six million, eight hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 131 176 220 233 262 440 466 524 655 880 932 1048 1165 1310 1441 1864 2096 2330 2563 2620 2882 3728 4660 5126 5240 5764 7205 9320 10252 10480 11528 12815 14410 18640 20504 23056 25630 28820 30523 41008 51260 57640 61046 102520 115280 122092 152615 205040 244184 305230 335753 488368 610460 671506 1220920 1343012 1678765 2441840 2686024 3357530 5372048 6715060 13430120 26860240