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5715072 = 273211241
BaseRepresentation
bin10101110011010010000000
3101202100121100
4111303102000
52430340242
6322254400
766402006
oct25632200
911670540
105715072
113253900
121ab7400
1312513cc
14a8aa76
1577d54c
hex573480

5715072 has 144 divisors (see below), whose sum is σ = 18517590. Its totient is φ = 1689600.

The previous prime is 5715071. The next prime is 5715089. The reversal of 5715072 is 2705175.

It can be written as a sum of positive squares in only one way, i.e., 5645376 + 69696 = 2376^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (5715071) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 139372 + ... + 139412.

Almost surely, 25715072 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 5715072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9258795).

5715072 is an abundant number, since it is smaller than the sum of its proper divisors (12802518).

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

5715072 is a wasteful number, since it uses less digits than its factorization.

5715072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 5715072 is about 2390.6216764683. The cubic root of 5715072 is about 178.7889067183.

It can be divided in two parts, 57 and 15072, that added together give a square (15129 = 1232).

The spelling of 5715072 in words is "five million, seven hundred fifteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 41 44 48 64 66 72 82 88 96 99 121 123 128 132 144 164 176 192 198 242 246 264 288 328 352 363 369 384 396 451 484 492 528 576 656 704 726 738 792 902 968 984 1056 1089 1152 1312 1353 1408 1452 1476 1584 1804 1936 1968 2112 2178 2624 2706 2904 2952 3168 3608 3872 3936 4059 4224 4356 4961 5248 5412 5808 5904 6336 7216 7744 7872 8118 8712 9922 10824 11616 11808 12672 14432 14883 15488 15744 16236 17424 19844 21648 23232 23616 28864 29766 32472 34848 39688 43296 44649 46464 47232 57728 59532 64944 69696 79376 86592 89298 119064 129888 139392 158752 173184 178596 238128 259776 317504 357192 476256 519552 635008 714384 952512 1428768 1905024 2857536 5715072