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26114000 = 2453111187
BaseRepresentation
bin110001110011…
…1011111010000
31211010201200012
41203213133100
523141122000
62331414052
7434652053
oct143473720
954121605
1026114000
1113816920
1288b4328
135544293
14367aa9a
15245c735
hex18e77d0

26114000 has 80 divisors (see below), whose sum is σ = 68942016. Its totient is φ = 9488000.

The previous prime is 26113991. The next prime is 26114047. The reversal of 26114000 is 41162.

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, 21407 + ... + 22593.

Almost surely, 226114000 is an apocalyptic number.

26114000 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 26114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34471008).

26114000 is an abundant number, since it is smaller than the sum of its proper divisors (42828016).

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

26114000 is a wasteful number, since it uses less digits than its factorization.

26114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 26114000 is about 5110.1859065987. The cubic root of 26114000 is about 296.6819557551.

Adding to 26114000 its reverse (41162), we get a palindrome (26155162).

The spelling of 26114000 in words is "twenty-six million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1187 1375 2000 2200 2374 2750 4400 4748 5500 5935 9496 11000 11870 13057 18992 22000 23740 26114 29675 47480 52228 59350 65285 94960 104456 118700 130570 148375 208912 237400 261140 296750 326425 474800 522280 593500 652850 1044560 1187000 1305700 1632125 2374000 2611400 3264250 5222800 6528500 13057000 26114000