Search a number
-
+
26220700 = 2252113197
BaseRepresentation
bin110010000000…
…1100010011100
31211100011001001
41210001202130
523203030300
62334000044
7435605122
oct144014234
954304031
1026220700
111388a000
128946024
135580a0c
1436a7912
15247e16a
hex190189c

26220700 has 72 divisors (see below), whose sum is σ = 62902224. Its totient is φ = 9486400.

The previous prime is 26220683. The next prime is 26220707. The reversal of 26220700 is 702262.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26220707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133002 + ... + 133198.

It is an arithmetic number, because the mean of its divisors is an integer number (873642).

Almost surely, 226220700 is an apocalyptic number.

26220700 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 26220700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31451112).

26220700 is an abundant number, since it is smaller than the sum of its proper divisors (36681524).

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

26220700 is a wasteful number, since it uses less digits than its factorization.

26220700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 26220700 is about 5120.6151974152. The cubic root of 26220700 is about 297.0854806535.

Adding to 26220700 its reverse (702262), we get a palindrome (26922962).

The spelling of 26220700 in words is "twenty-six million, two hundred twenty thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 197 220 242 275 394 484 550 605 788 985 1100 1210 1331 1970 2167 2420 2662 3025 3940 4334 4925 5324 6050 6655 8668 9850 10835 12100 13310 19700 21670 23837 26620 33275 43340 47674 54175 66550 95348 108350 119185 133100 216700 238370 262207 476740 524414 595925 1048828 1191850 1311035 2383700 2622070 5244140 6555175 13110350 26220700