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741200020 = 225112615021
BaseRepresentation
bin101100001011011…
…101000010010100
31220122200212021121
4230023131002110
53004221400040
6201314253324
724240045001
oct5413350224
91818625247
10741200020
1135042a600
12188287244
13ba7361c2
14706208a8
154510ec4a
hex2c2dd094

741200020 has 72 divisors (see below), whose sum is σ = 1739279304. Its totient is φ = 265056000.

The previous prime is 741199999. The next prime is 741200059. The reversal of 741200020 is 20002147.

It can be written as a sum of positive squares in 4 ways, for example, as 47720464 + 693479556 = 6908^2 + 26334^2 .

It is a junction number, because it is equal to n+sod(n) for n = 741199967 and 741200003.

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 23 ways as a sum of consecutive naturals, for example, 145110 + ... + 150130.

It is an arithmetic number, because the mean of its divisors is an integer number (24156657).

Almost surely, 2741200020 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 741200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869639652).

741200020 is an abundant number, since it is smaller than the sum of its proper divisors (998079284).

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

741200020 is a wasteful number, since it uses less digits than its factorization.

741200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5113 (or 5100 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 741200020 is about 27224.9888888866. The cubic root of 741200020 is about 904.9928349198.

Adding to 741200020 its reverse (20002147), we get a palindrome (761202167).

The spelling of 741200020 in words is "seven hundred forty-one million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 121 122 220 242 244 305 484 605 610 671 1210 1220 1342 2420 2684 3355 5021 6710 7381 10042 13420 14762 20084 25105 29524 36905 50210 55231 73810 100420 110462 147620 220924 276155 306281 552310 607541 612562 1104620 1215082 1225124 1531405 2430164 3037705 3062810 3369091 6075410 6125620 6738182 12150820 13476364 16845455 33690910 37060001 67381820 74120002 148240004 185300005 370600010 741200020