Search a number
-
+
26671640 = 2351761643
BaseRepresentation
bin110010110111…
…1101000011000
31212012001121112
41211233220120
523311443030
62351355452
7442463612
oct145575030
955161545
1026671640
1114067886
128b22b88
1356ab048
143783db2
15251ca95
hex196fa18

26671640 has 64 divisors (see below), whose sum is σ = 64683360. Its totient is φ = 9861120.

The previous prime is 26671639. The next prime is 26671661. The reversal of 26671640 is 4617662.

It is a super-2 number, since 2×266716402 = 1422752760579200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26671597 and 26671606.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 41159 + ... + 41801.

Almost surely, 226671640 is an apocalyptic number.

26671640 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 26671640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32341680).

26671640 is an abundant number, since it is smaller than the sum of its proper divisors (38011720).

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

26671640 is a wasteful number, since it uses less digits than its factorization.

26671640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 26671640 is about 5164.4593134228. The cubic root of 26671640 is about 298.7788882157.

The spelling of 26671640 in words is "twenty-six million, six hundred seventy-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 170 244 305 340 488 610 643 680 1037 1220 1286 2074 2440 2572 3215 4148 5144 5185 6430 8296 10370 10931 12860 20740 21862 25720 39223 41480 43724 54655 78446 87448 109310 156892 196115 218620 313784 392230 437240 666791 784460 1333582 1568920 2667164 3333955 5334328 6667910 13335820 26671640