Search a number
-
+
26140128 = 253725557
BaseRepresentation
bin110001110110…
…1110111100000
31211012001111220
41203231313200
523142441003
62332135040
7435121200
oct143556740
954161456
1026140128
1113834513
128907480
135553141
143686400
152465353
hex18edde0

26140128 has 72 divisors (see below), whose sum is σ = 79835112. Its totient is φ = 7467264.

The previous prime is 26140123. The next prime is 26140139. The reversal of 26140128 is 82104162.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 26140098 and 26140107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26140123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1926 + ... + 7482.

It is an arithmetic number, because the mean of its divisors is an integer number (1108821).

Almost surely, 226140128 is an apocalyptic number.

26140128 is a gapful number since it is divisible by the number (28) 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 26140128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39917556).

26140128 is an abundant number, since it is smaller than the sum of its proper divisors (53694984).

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

26140128 is a wasteful number, since it uses less digits than its factorization.

26140128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5584 (or 5569 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 26140128 is about 5112.7417302266. The cubic root of 26140128 is about 296.7808697768.

The spelling of 26140128 in words is "twenty-six million, one hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 5557 11114 16671 22228 33342 38899 44456 66684 77798 88912 116697 133368 155596 177824 233394 266736 272293 311192 466788 533472 544586 622384 816879 933576 1089172 1244768 1633758 1867152 2178344 3267516 3734304 4356688 6535032 8713376 13070064 26140128