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26130768 = 24317311033
BaseRepresentation
bin110001110101…
…1100101010000
31211011120200020
41203223211100
523142141033
62332023440
7435051666
oct143534520
954146606
1026130768
1113828484
128901b80
13554bac1
143682c36
1524626b3
hex18eb950

26130768 has 80 divisors (see below), whose sum is σ = 73852416. Its totient is φ = 7925760.

The previous prime is 26130763. The next prime is 26130781. The reversal of 26130768 is 86703162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26130763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24780 + ... + 25812.

Almost surely, 226130768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26130768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36926208).

26130768 is an abundant number, since it is smaller than the sum of its proper divisors (47721648).

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

26130768 is a wasteful number, since it uses less digits than its factorization.

26130768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 26130768 is about 5111.8262881283. The cubic root of 26130768 is about 296.7454427562.

The spelling of 26130768 in words is "twenty-six million, one hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 372 408 496 527 744 816 1033 1054 1488 1581 2066 2108 3099 3162 4132 4216 6198 6324 8264 8432 12396 12648 16528 17561 24792 25296 32023 35122 49584 52683 64046 70244 96069 105366 128092 140488 192138 210732 256184 280976 384276 421464 512368 544391 768552 842928 1088782 1537104 1633173 2177564 3266346 4355128 6532692 8710256 13065384 26130768