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26006130 = 2335611579
BaseRepresentation
bin110001100110…
…1001001110010
31210221020201000
41203031021302
523124144010
62325222430
7434022423
oct143151162
953836630
1026006130
1113752877
128861a16
135507157
14364d64a
15243a7c0
hex18cd272

26006130 has 64 divisors (see below), whose sum is σ = 70531200. Its totient is φ = 6816960.

The previous prime is 26006129. The next prime is 26006137. The reversal of 26006130 is 3160062.

It is a happy number.

26006130 is a `hidden beast` number, since 2 + 600 + 61 + 3 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26006137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15681 + ... + 17259.

It is an arithmetic number, because the mean of its divisors is an integer number (1102050).

Almost surely, 226006130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26006130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35265600).

26006130 is an abundant number, since it is smaller than the sum of its proper divisors (44525070).

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

26006130 is a wasteful number, since it uses less digits than its factorization.

26006130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 26006130 is about 5099.6205741212. The cubic root of 26006130 is about 296.2728871919.

Adding to 26006130 its reverse (3160062), we get a palindrome (29166192).

The spelling of 26006130 in words is "twenty-six million, six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 122 135 183 270 305 366 549 610 915 1098 1579 1647 1830 2745 3158 3294 4737 5490 7895 8235 9474 14211 15790 16470 23685 28422 42633 47370 71055 85266 96319 142110 192638 213165 288957 426330 481595 577914 866871 963190 1444785 1733742 2600613 2889570 4334355 5201226 8668710 13003065 26006130