Search a number
-
+
3126000024 = 233278637187
BaseRepresentation
bin1011101001010010…
…1111100110011000
322001212010020212200
42322110233212120
522400224000044
61234105010200
7140315363460
oct27224574630
98055106780
103126000024
1113646000a4
12732a83960
133aa82c474
14219244ba0
15134682369
hexba52f998

3126000024 has 96 divisors (see below), whose sum is σ = 9688273920. Its totient is φ = 891983808.

The previous prime is 3125999969. The next prime is 3126000029. The reversal of 3126000024 is 4200006213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3125999970 and 3126000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3126000029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431359 + ... + 438545.

It is an arithmetic number, because the mean of its divisors is an integer number (100919520).

Almost surely, 23126000024 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 3126000024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4844136960).

3126000024 is an abundant number, since it is smaller than the sum of its proper divisors (6562273896).

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

3126000024 is a wasteful number, since it uses less digits than its factorization.

3126000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8069 (or 8062 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3126000024 is about 55910.6432086056. The cubic root of 3126000024 is about 1462.1648038296.

Adding to 3126000024 its reverse (4200006213), we get a palindrome (7326006237).

The spelling of 3126000024 in words is "three billion, one hundred twenty-six million, twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 863 1726 2589 3452 5178 6041 6904 7187 7767 10356 12082 14374 15534 18123 20712 21561 24164 28748 31068 36246 43122 48328 50309 54369 57496 62136 64683 72492 86244 100618 108738 129366 144984 150927 172488 201236 217476 258732 301854 402472 434952 452781 517464 603708 905562 1207416 1811124 3622248 6202381 12404762 18607143 24809524 37214286 43416667 49619048 55821429 74428572 86833334 111642858 130250001 148857144 173666668 223285716 260500002 347333336 390750003 446571432 521000004 781500006 1042000008 1563000012 3126000024