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5856240 = 2435131877
BaseRepresentation
bin10110010101101111110000
3102000112020210
4112111233300
52444344430
6325304120
7100530405
oct26255760
912015223
105856240
11333a975
121b65040
1312a0740
14ac62ac
157aa2b0
hex595bf0

5856240 has 80 divisors (see below), whose sum is σ = 19561248. Its totient is φ = 1440768.

The previous prime is 5856239. The next prime is 5856287. The reversal of 5856240 is 426585.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 5856198 and 5856207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2182 + ... + 4058.

Almost surely, 25856240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5856240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9780624).

5856240 is an abundant number, since it is smaller than the sum of its proper divisors (13705008).

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

5856240 is a wasteful number, since it uses less digits than its factorization.

5856240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5856240 is about 2419.9669419230. The cubic root of 5856240 is about 180.2490380020.

The spelling of 5856240 in words is "five million, eight hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 1877 3120 3754 5631 7508 9385 11262 15016 18770 22524 24401 28155 30032 37540 45048 48802 56310 73203 75080 90096 97604 112620 122005 146406 150160 195208 225240 244010 292812 366015 390416 450480 488020 585624 732030 976040 1171248 1464060 1952080 2928120 5856240