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26399120 = 24511131229
BaseRepresentation
bin110010010110…
…1000110010000
31211200012210012
41210231012100
523224232440
62341454052
7440250236
oct144550620
954605705
1026399120
11139a1060
128a11328
135613ca7
143712956
1524b6e65
hex192d190

26399120 has 80 divisors (see below), whose sum is σ = 67763520. Its totient is φ = 9484800.

The previous prime is 26399117. The next prime is 26399129. The reversal of 26399120 is 2199362.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26399129) 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, 115166 + ... + 115394.

It is an arithmetic number, because the mean of its divisors is an integer number (847044).

Almost surely, 226399120 is an apocalyptic number.

26399120 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 26399120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33881760).

26399120 is an abundant number, since it is smaller than the sum of its proper divisors (41364400).

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

26399120 is a wasteful number, since it uses less digits than its factorization.

26399120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 26399120 is about 5138.0073958686. The cubic root of 26399120 is about 297.7578020972.

The spelling of 26399120 in words is "twenty-six million, three hundred ninety-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 131 176 220 229 262 440 458 524 655 880 916 1048 1145 1310 1441 1832 2096 2290 2519 2620 2882 3664 4580 5038 5240 5764 7205 9160 10076 10480 11528 12595 14410 18320 20152 23056 25190 28820 29999 40304 50380 57640 59998 100760 115280 119996 149995 201520 239992 299990 329989 479984 599980 659978 1199960 1319956 1649945 2399920 2639912 3299890 5279824 6599780 13199560 26399120