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26145900 = 2232521119139
BaseRepresentation
bin110001110111…
…1010001101100
31211012100102200
41203233101230
523143132100
62332221500
7435144054
oct143572154
954170380
1026145900
1113838890
12890a890
135555961
143688564
152466e00
hex18ef46c

26145900 has 216 divisors, whose sum is σ = 94785600. Its totient is φ = 5961600.

The previous prime is 26145893. The next prime is 26145901. The reversal of 26145900 is 954162.

It is not an unprimeable number, because it can be changed into a prime (26145901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 188031 + ... + 188169.

Almost surely, 226145900 is an apocalyptic number.

26145900 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 26145900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47392800).

26145900 is an abundant number, since it is smaller than the sum of its proper divisors (68639700).

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

26145900 is a wasteful number, since it uses less digits than its factorization.

26145900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 26145900 is about 5113.3061711578. The cubic root of 26145900 is about 296.8027122242.

The spelling of 26145900 in words is "twenty-six million, one hundred forty-five thousand, nine hundred".