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26201120 = 2551114887
BaseRepresentation
bin110001111110…
…0110000100000
31211022011011212
41203330300200
523201413440
62333325252
7435464051
oct143746040
954264155
1026201120
1113876320
128936828
135574b2a
1436a0728
152478465
hex18fcc20

26201120 has 48 divisors (see below), whose sum is σ = 67531968. Its totient is φ = 9527040.

The previous prime is 26201111. The next prime is 26201141. The reversal of 26201120 is 2110262.

It is a junction number, because it is equal to n+sod(n) for n = 26201095 and 26201104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5684 + ... + 9203.

It is an arithmetic number, because the mean of its divisors is an integer number (1406916).

Almost surely, 226201120 is an apocalyptic number.

26201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26201120 is an abundant number, since it is smaller than the sum of its proper divisors (41330848).

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

26201120 is a wasteful number, since it uses less digits than its factorization.

26201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14913 (or 14905 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 26201120 is about 5118.7029607118. The cubic root of 26201120 is about 297.0115138738.

Adding to 26201120 its reverse (2110262), we get a palindrome (28311382).

The spelling of 26201120 in words is "twenty-six million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 14887 29774 59548 74435 119096 148870 163757 238192 297740 327514 476384 595480 655028 818785 1190960 1310056 1637570 2381920 2620112 3275140 5240224 6550280 13100560 26201120