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26214420 = 2235676521
BaseRepresentation
bin110010000000…
…0000000010100
31211022211102110
41210000000110
523202330140
62333511020
7435550611
oct144000024
954284373
1026214420
1113885311
128942470
13557abbb
1436a5508
15247c380
hex1900014

26214420 has 48 divisors (see below), whose sum is σ = 74507328. Its totient is φ = 6885120.

The previous prime is 26214413. The next prime is 26214421. The reversal of 26214420 is 2441262.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26214421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760 + ... + 7280.

It is an arithmetic number, because the mean of its divisors is an integer number (1552236).

Almost surely, 226214420 is an apocalyptic number.

26214420 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 26214420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37253664).

26214420 is an abundant number, since it is smaller than the sum of its proper divisors (48292908).

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

26214420 is a wasteful number, since it uses less digits than its factorization.

26214420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6600 (or 6598 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 26214420 is about 5120.0019531246. The cubic root of 26214420 is about 297.0617608979.

Adding to 26214420 its reverse (2441262), we get a palindrome (28655682).

The spelling of 26214420 in words is "twenty-six million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 6521 13042 19563 26084 32605 39126 65210 78252 97815 130420 195630 391260 436907 873814 1310721 1747628 2184535 2621442 4369070 5242884 6553605 8738140 13107210 26214420