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26460990 = 23254171101
BaseRepresentation
bin110010011110…
…0001100111110
31211210100122200
41210330030332
523233222430
62343052330
7440625513
oct144741476
954710580
1026460990
1113a33596
128a410a6
1356361ba
14372b30a
1524ca460
hex193c33e

26460990 has 96 divisors (see below), whose sum is σ = 72176832. Its totient is φ = 6720000.

The previous prime is 26460961. The next prime is 26460997. The reversal of 26460990 is 9906462.

26460990 is a `hidden beast` number, since 2 + 646 + 0 + 9 + 9 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26460997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261940 + ... + 262040.

It is an arithmetic number, because the mean of its divisors is an integer number (751842).

Almost surely, 226460990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26460990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36088416).

26460990 is an abundant number, since it is smaller than the sum of its proper divisors (45715842).

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

26460990 is a wasteful number, since it uses less digits than its factorization.

26460990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 26460990 is about 5144.0246888988. The cubic root of 26460990 is about 297.9902328526.

The spelling of 26460990 in words is "twenty-six million, four hundred sixty thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 71 82 90 101 123 142 202 205 213 246 303 355 369 410 426 505 606 615 639 710 738 909 1010 1065 1230 1278 1515 1818 1845 2130 2911 3030 3195 3690 4141 4545 5822 6390 7171 8282 8733 9090 12423 14342 14555 17466 20705 21513 24846 26199 29110 35855 37269 41410 43026 43665 52398 62115 64539 71710 74538 87330 107565 124230 129078 130995 186345 215130 261990 294011 322695 372690 588022 645390 882033 1470055 1764066 2646099 2940110 4410165 5292198 8820330 13230495 26460990