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2063142630 = 233531324413
BaseRepresentation
bin111101011111001…
…0000111011100110
312022210011111122000
41322332100323212
513211131031010
6540420150130
7102061265043
oct17276207346
95283144560
102063142630
1196965465a
12496b38346
1326b584873
141580141ca
15c11d67c0
hex7af90ee6

2063142630 has 64 divisors (see below), whose sum is σ = 5519517120. Its totient is φ = 548391168.

The previous prime is 2063142629. The next prime is 2063142643. The reversal of 2063142630 is 362413602.

2063142630 is a `hidden beast` number, since 2 + 0 + 631 + 4 + 26 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2063142594 and 2063142603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72304 + ... + 96716.

It is an arithmetic number, because the mean of its divisors is an integer number (86242455).

Almost surely, 22063142630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2063142630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759758560).

2063142630 is an abundant number, since it is smaller than the sum of its proper divisors (3456374490).

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

2063142630 is a wasteful number, since it uses less digits than its factorization.

2063142630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24742 (or 24736 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2063142630 is about 45421.8298838785. The cubic root of 2063142630 is about 1273.0430324353.

The spelling of 2063142630 in words is "two billion, sixty-three million, one hundred forty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 313 626 939 1565 1878 2817 3130 4695 5634 8451 9390 14085 16902 24413 28170 42255 48826 73239 84510 122065 146478 219717 244130 366195 439434 659151 732390 1098585 1318302 2197170 3295755 6591510 7641269 15282538 22923807 38206345 45847614 68771421 76412690 114619035 137542842 206314263 229238070 343857105 412628526 687714210 1031571315 2063142630