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56210240 = 265269653
BaseRepresentation
bin1101011001101…
…1001101000000
310220202202221202
43112123031000
5103342211430
65324440332
71251531152
oct326331500
9126682852
1056210240
1129802649
12169a90a8
13b850cc8
147672ad2
154e04d45
hex359b340

56210240 has 56 divisors (see below), whose sum is σ = 134553960. Its totient is φ = 22366208.

The previous prime is 56210233. The next prime is 56210249. The reversal of 56210240 is 4201265.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 379456 + 55830784 = 616^2 + 7472^2 .

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 (56210249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85754 + ... + 86406.

Almost surely, 256210240 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 56210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67276980).

56210240 is an abundant number, since it is smaller than the sum of its proper divisors (78343720).

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

56210240 is a wasteful number, since it uses less digits than its factorization.

56210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 56210240 is about 7497.3488647655. The cubic root of 56210240 is about 383.0644179903.

The spelling of 56210240 in words is "fifty-six million, two hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 269 320 538 653 1076 1306 1345 2152 2612 2690 3265 4304 5224 5380 6530 8608 10448 10760 13060 17216 20896 21520 26120 41792 43040 52240 86080 104480 175657 208960 351314 702628 878285 1405256 1756570 2810512 3513140 5621024 7026280 11242048 14052560 28105120 56210240