Search a number
-
+
26270240 = 2551131453
BaseRepresentation
bin110010000110…
…1101000100000
31211102122222212
41210031220200
523211121430
62335021252
7436202423
oct144155040
954378885
1026270240
1113913247
12896a828
13559a429
1436bb9ba
15248db95
hex190da20

26270240 has 48 divisors (see below), whose sum is σ = 62655768. Its totient is φ = 10407936.

The previous prime is 26270239. The next prime is 26270249. The reversal of 26270240 is 4207262.

It can be written as a sum of positive squares in 4 ways, for example, as 20757136 + 5513104 = 4556^2 + 2348^2 .

It is not an unprimeable number, because it can be changed into a prime (26270249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17354 + ... + 18806.

Almost surely, 226270240 is an apocalyptic number.

26270240 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 26270240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31327884).

26270240 is an abundant number, since it is smaller than the sum of its proper divisors (36385528).

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

26270240 is a wasteful number, since it uses less digits than its factorization.

26270240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 26270240 is about 5125.4502241267. The cubic root of 26270240 is about 297.2724621291.

The spelling of 26270240 in words is "twenty-six million, two hundred seventy thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1453 1808 2260 2906 3616 4520 5812 7265 9040 11624 14530 18080 23248 29060 46496 58120 116240 164189 232480 328378 656756 820945 1313512 1641890 2627024 3283780 5254048 6567560 13135120 26270240