Search a number
-
+
26137040 = 2452391367
BaseRepresentation
bin110001110110…
…1000111010000
31211011220021112
41203231013100
523142341130
62332112452
7435106166
oct143550720
954156245
1026137040
1113832166
128905728
135551907
143685236
152464495
hex18ed1d0

26137040 has 40 divisors (see below), whose sum is σ = 61067520. Its totient is φ = 10403456.

The previous prime is 26137037. The next prime is 26137051. The reversal of 26137040 is 4073162.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 26136997 and 26137015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18437 + ... + 19803.

It is an arithmetic number, because the mean of its divisors is an integer number (1526688).

Almost surely, 226137040 is an apocalyptic number.

26137040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26137040 is an abundant number, since it is smaller than the sum of its proper divisors (34930480).

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

26137040 is a wasteful number, since it uses less digits than its factorization.

26137040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 26137040 is about 5112.4397306961. The cubic root of 26137040 is about 296.7691828229.

The spelling of 26137040 in words is "twenty-six million, one hundred thirty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 239 478 956 1195 1367 1912 2390 2734 3824 4780 5468 6835 9560 10936 13670 19120 21872 27340 54680 109360 326713 653426 1306852 1633565 2613704 3267130 5227408 6534260 13068520 26137040