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26420240 = 2457114289
BaseRepresentation
bin110010011001…
…0010000010000
31211201021202102
41210302100100
523230421430
62342135532
7440365640
oct144622020
954637672
1026420240
1113a05a10
128a215a8
1356207a2
14371a520
1524bd345
hex1932410

26420240 has 80 divisors (see below), whose sum is σ = 76602240. Its totient is φ = 8232960.

The previous prime is 26420239. The next prime is 26420249. The reversal of 26420240 is 4202462.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26420249) 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, 4016 + ... + 8304.

It is an arithmetic number, because the mean of its divisors is an integer number (957528).

Almost surely, 226420240 is an apocalyptic number.

26420240 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 26420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38301120).

26420240 is an abundant number, since it is smaller than the sum of its proper divisors (50182000).

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

26420240 is a wasteful number, since it uses less digits than its factorization.

26420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 26420240 is about 5140.0622564323. The cubic root of 26420240 is about 297.8371856587.

The spelling of 26420240 in words is "twenty-six million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 4289 6160 8578 17156 21445 30023 34312 42890 47179 60046 68624 85780 94358 120092 150115 171560 188716 235895 240184 300230 330253 343120 377432 471790 480368 600460 660506 754864 943580 1200920 1321012 1651265 1887160 2401840 2642024 3302530 3774320 5284048 6605060 13210120 26420240