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26066480 = 24511191559
BaseRepresentation
bin110001101101…
…1111000110000
31211001022111012
41203123320300
523133111410
62330410052
7434363366
oct143337060
954038435
1026066480
1113794150
128890928
13552876b
143667636
15244d605
hex18dbe30

26066480 has 80 divisors (see below), whose sum is σ = 69638400. Its totient is φ = 8974080.

The previous prime is 26066479. The next prime is 26066489. The reversal of 26066480 is 8466062.

It is a happy number.

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

It is a super-2 number, since 2×260664802 = 1358922759180800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26066489) 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, 15941 + ... + 17499.

It is an arithmetic number, because the mean of its divisors is an integer number (870480).

Almost surely, 226066480 is an apocalyptic number.

26066480 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 26066480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34819200).

26066480 is an abundant number, since it is smaller than the sum of its proper divisors (43571920).

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

26066480 is a wasteful number, since it uses less digits than its factorization.

26066480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 26066480 is about 5105.5342521621. The cubic root of 26066480 is about 296.5018877605.

The spelling of 26066480 in words is "twenty-six million, sixty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1559 1672 2090 3118 3344 4180 6236 7795 8360 12472 15590 16720 17149 24944 29621 31180 34298 59242 62360 68596 85745 118484 124720 137192 148105 171490 236968 274384 296210 325831 342980 473936 592420 651662 685960 1184840 1303324 1371920 1629155 2369680 2606648 3258310 5213296 6516620 13033240 26066480