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26132040 = 23325116599
BaseRepresentation
bin110001110101…
…1111001001000
31211011122102100
41203223321020
523142211130
62332033400
7435055464
oct143537110
954148370
1026132040
1113829430
128902860
13554c55c
1436834a4
152462c60
hex18ebe48

26132040 has 96 divisors (see below), whose sum is σ = 92664000. Its totient is φ = 6334080.

The previous prime is 26132023. The next prime is 26132063. The reversal of 26132040 is 4023162.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 661 + ... + 7259.

It is an arithmetic number, because the mean of its divisors is an integer number (965250).

Almost surely, 226132040 is an apocalyptic number.

26132040 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 26132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46332000).

26132040 is an abundant number, since it is smaller than the sum of its proper divisors (66531960).

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

26132040 is a wasteful number, since it uses less digits than its factorization.

26132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6627 (or 6620 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 26132040 is about 5111.9507039877. The cubic root of 26132040 is about 296.7502576941.

The spelling of 26132040 in words is "twenty-six million, one hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 6599 13198 19797 26396 32995 39594 52792 59391 65990 72589 79188 98985 118782 131980 145178 158376 197970 217767 237564 263960 290356 296955 362945 395940 435534 475128 580712 593910 653301 725890 791880 871068 1088835 1187820 1306602 1451780 1742136 2177670 2375640 2613204 2903560 3266505 4355340 5226408 6533010 8710680 13066020 26132040