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26914420 = 22513611697
BaseRepresentation
bin110011010101…
…0111001110100
31212122101122101
41212222321310
523342230140
62400511444
7444524461
oct146527164
955571571
1026914420
1114213225
12901b584
1357646c0
143808668
15256999a
hex19aae74

26914420 has 48 divisors (see below), whose sum is σ = 61902288. Its totient is φ = 9768960.

The previous prime is 26914399. The next prime is 26914423. The reversal of 26914420 is 2441962.

It can be written as a sum of positive squares in 8 ways, for example, as 1954404 + 24960016 = 1398^2 + 4996^2 .

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26914423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15012 + ... + 16708.

It is an arithmetic number, because the mean of its divisors is an integer number (1289631).

Almost surely, 226914420 is an apocalyptic number.

26914420 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 26914420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30951144).

26914420 is an abundant number, since it is smaller than the sum of its proper divisors (34987868).

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

26914420 is a wasteful number, since it uses less digits than its factorization.

26914420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 26914420 is about 5187.9109475780. The cubic root of 26914420 is about 299.6827015610.

The spelling of 26914420 in words is "twenty-six million, nine hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 610 793 1220 1586 1697 3172 3394 3965 6788 7930 8485 15860 16970 22061 33940 44122 88244 103517 110305 207034 220610 414068 441220 517585 1035170 1345721 2070340 2691442 5382884 6728605 13457210 26914420