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26223040 = 265192227
BaseRepresentation
bin110010000001…
…0000111000000
31211100021020201
41210002013000
523203114130
62334014544
7435615004
oct144020700
954307221
1026223040
1113890838
128947454
135581abc
1436a8704
15247ebca
hex19021c0

26223040 has 84 divisors (see below), whose sum is σ = 66193416. Its totient is φ = 9893376.

The previous prime is 26223037. The next prime is 26223073. The reversal of 26223040 is 4032262.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 26222999 and 26223017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115407 + ... + 115633.

Almost surely, 226223040 is an apocalyptic number.

26223040 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 26223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33096708).

26223040 is an abundant number, since it is smaller than the sum of its proper divisors (39970376).

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

26223040 is a wasteful number, since it uses less digits than its factorization.

26223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 26223040 is about 5120.8436804886. The cubic root of 26223040 is about 297.0943179378.

The spelling of 26223040 in words is "twenty-six million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 227 304 320 361 380 454 608 722 760 908 1135 1216 1444 1520 1805 1816 2270 2888 3040 3610 3632 4313 4540 5776 6080 7220 7264 8626 9080 11552 14440 14528 17252 18160 21565 23104 28880 34504 36320 43130 57760 69008 72640 81947 86260 115520 138016 163894 172520 276032 327788 345040 409735 655576 690080 819470 1311152 1380160 1638940 2622304 3277880 5244608 6555760 13111520 26223040