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4127002140 = 22351513891171
BaseRepresentation
bin1111010111111101…
…0000111000011100
3101122121200102122010
43311333100320130
531423003032030
61521303551220
7204161640132
oct36577207034
911577612563
104127002140
111828648878
1297215b510
1350a02a801
142b2173752
151924b06b0
hexf5fd0e1c

4127002140 has 96 divisors (see below), whose sum is σ = 11671994880. Its totient is φ = 1089504000.

The previous prime is 4127002133. The next prime is 4127002169. The reversal of 4127002140 is 412007214.

It is a happy number.

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, 3523755 + ... + 3524925.

It is an arithmetic number, because the mean of its divisors is an integer number (121583280).

Almost surely, 24127002140 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 4127002140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835997440).

4127002140 is an abundant number, since it is smaller than the sum of its proper divisors (7544992740).

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

4127002140 is a wasteful number, since it uses less digits than its factorization.

4127002140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 4127002140 is about 64241.7476412340. The cubic root of 4127002140 is about 1604.0265950611.

Adding to 4127002140 its reverse (412007214), we get a palindrome (4539009354).

The spelling of 4127002140 in words is "four billion, one hundred twenty-seven million, two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 389 453 604 755 778 906 1167 1171 1510 1556 1812 1945 2265 2334 2342 3020 3513 3890 4530 4668 4684 5835 5855 7026 7780 9060 11670 11710 14052 17565 23340 23420 35130 58739 70260 117478 176217 176821 234956 293695 352434 353642 455519 530463 587390 704868 707284 881085 884105 911038 1060926 1174780 1366557 1762170 1768210 1822076 2121852 2277595 2652315 2733114 3524340 3536420 4555190 5304630 5466228 6832785 9110380 10609260 13665570 27331140 68783369 137566738 206350107 275133476 343916845 412700214 687833690 825400428 1031750535 1375667380 2063501070 4127002140