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26460630 = 2325797433
BaseRepresentation
bin110010011110…
…0000111010110
31211210100011100
41210330013112
523233220010
62343050530
7440624460
oct144740726
954710140
1026460630
1113a33299
128a40a46
135635ca1
14372b130
1524ca2c0
hex193c1d6

26460630 has 96 divisors (see below), whose sum is σ = 79619904. Its totient is φ = 5971968.

The previous prime is 26460617. The next prime is 26460631. The reversal of 26460630 is 3606462.

26460630 is a `hidden beast` number, since 26 + 4 + 6 + 0 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26460594 and 26460603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26460631) 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 47 ways as a sum of consecutive naturals, for example, 60894 + ... + 61326.

It is an arithmetic number, because the mean of its divisors is an integer number (829374).

Almost surely, 226460630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26460630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39809952).

26460630 is an abundant number, since it is smaller than the sum of its proper divisors (53159274).

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

26460630 is a wasteful number, since it uses less digits than its factorization.

26460630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 26460630 is about 5143.9896967237. The cubic root of 26460630 is about 297.9888814674.

The spelling of 26460630 in words is "twenty-six million, four hundred sixty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 97 105 126 194 210 291 315 433 485 582 630 679 866 873 970 1299 1358 1455 1746 2037 2165 2598 2910 3031 3395 3897 4074 4330 4365 6062 6111 6495 6790 7794 8730 9093 10185 12222 12990 15155 18186 19485 20370 27279 30310 30555 38970 42001 45465 54558 61110 84002 90930 126003 136395 210005 252006 272790 294007 378009 420010 588014 630015 756018 882021 1260030 1470035 1764042 1890045 2646063 2940070 3780090 4410105 5292126 8820210 13230315 26460630