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26133480 = 23325229317
BaseRepresentation
bin110001110110…
…0001111101000
31211011201101200
41203230033220
523142232410
62332044200
7435062622
oct143541750
954151350
1026133480
111382a51a
128903660
1355500c9
143683c12
1524633c0
hex18ec3e8

26133480 has 96 divisors (see below), whose sum is σ = 85573800. Its totient is φ = 6916608.

The previous prime is 26133479. The next prime is 26133487. The reversal of 26133480 is 8433162.

It is a happy number.

26133480 is a `hidden beast` number, since 2 + 613 + 3 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20629764 + 5503716 = 4542^2 + 2346^2 .

It is not an unprimeable number, because it can be changed into a prime (26133487) 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 23 ways as a sum of consecutive naturals, for example, 82282 + ... + 82598.

Almost surely, 226133480 is an apocalyptic number.

26133480 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 26133480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42786900).

26133480 is an abundant number, since it is smaller than the sum of its proper divisors (59440320).

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

26133480 is a wasteful number, since it uses less digits than its factorization.

26133480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 26133480 is about 5112.0915484760. The cubic root of 26133480 is about 296.7557083787.

The spelling of 26133480 in words is "twenty-six million, one hundred thirty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 229 317 360 458 634 687 916 951 1145 1268 1374 1585 1832 1902 2061 2290 2536 2748 2853 3170 3435 3804 4122 4580 4755 5496 5706 6340 6870 7608 8244 9160 9510 10305 11412 12680 13740 14265 16488 19020 20610 22824 27480 28530 38040 41220 57060 72593 82440 114120 145186 217779 290372 362965 435558 580744 653337 725930 871116 1088895 1306674 1451860 1742232 2177790 2613348 2903720 3266685 4355580 5226696 6533370 8711160 13066740 26133480