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26379140 = 22531157271
BaseRepresentation
bin110010010100…
…0001110000100
31211122012101012
41210220032010
523223113030
62341221352
7440135054
oct144501604
954565335
1026379140
1113988047
128a01858
135607b78
143709564
1524b1095
hex1928384

26379140 has 48 divisors (see below), whose sum is σ = 57759744. Its totient is φ = 10108800.

The previous prime is 26379139. The next prime is 26379151. The reversal of 26379140 is 4197362.

It is a junction number, because it is equal to n+sod(n) for n = 26379097 and 26379106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97205 + ... + 97475.

It is an arithmetic number, because the mean of its divisors is an integer number (1203328).

Almost surely, 226379140 is an apocalyptic number.

26379140 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 26379140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28879872).

26379140 is an abundant number, since it is smaller than the sum of its proper divisors (31380604).

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

26379140 is a wasteful number, since it uses less digits than its factorization.

26379140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 26379140 is about 5136.0626943214. The cubic root of 26379140 is about 297.6826644615.

The spelling of 26379140 in words is "twenty-six million, three hundred seventy-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 157 271 310 314 542 620 628 785 1084 1355 1570 2710 3140 4867 5420 8401 9734 16802 19468 24335 33604 42005 42547 48670 84010 85094 97340 168020 170188 212735 425470 850940 1318957 2637914 5275828 6594785 13189570 26379140