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26733140 = 2257257743
BaseRepresentation
bin110010111111…
…0101001010100
31212022011222022
41211332221110
523320430030
62352552312
7443141120
oct145765124
955264868
1026733140
11140aa005
128b52698
135700035
14379c580
152530de5
hex197ea54

26733140 has 48 divisors (see below), whose sum is σ = 64495872. Its totient is φ = 9117696.

The previous prime is 26733137. The next prime is 26733149. The reversal of 26733140 is 4133762.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26733149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35609 + ... + 36351.

It is an arithmetic number, because the mean of its divisors is an integer number (1343664).

Almost surely, 226733140 is an apocalyptic number.

26733140 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 26733140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32247936).

26733140 is an abundant number, since it is smaller than the sum of its proper divisors (37762732).

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

26733140 is a wasteful number, since it uses less digits than its factorization.

26733140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 26733140 is about 5170.4100417665. The cubic root of 26733140 is about 299.0083553777.

The spelling of 26733140 in words is "twenty-six million, seven hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 257 514 743 1028 1285 1486 1799 2570 2972 3598 3715 5140 5201 7196 7430 8995 10402 14860 17990 20804 26005 35980 52010 104020 190951 381902 763804 954755 1336657 1909510 2673314 3819020 5346628 6683285 13366570 26733140