Search a number
-
+
1206506004 = 22311219101433
BaseRepresentation
bin100011111101001…
…1101001000010100
310010002020212002120
41013322131020110
54432331143004
6315415335540
741620063134
oct10772351024
93102225076
101206506004
1156a04a900
122980815b0
13162c618a2
14b6344ac4
1570dc33d9
hex47e9d214

1206506004 has 144 divisors (see below), whose sum is σ = 3297080640. Its totient is φ = 342144000.

The previous prime is 1206505991. The next prime is 1206506033. The reversal of 1206506004 is 4006056021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2786172 + ... + 2786604.

Almost surely, 21206506004 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 1206506004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648540320).

1206506004 is an abundant number, since it is smaller than the sum of its proper divisors (2090574636).

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

1206506004 is a wasteful number, since it uses less digits than its factorization.

1206506004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1206506004 is about 34734.7952923290. The cubic root of 1206506004 is about 1064.5755702579.

The spelling of 1206506004 in words is "one billion, two hundred six million, five hundred six thousand, four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 101 114 121 132 202 209 228 242 303 363 404 418 433 484 606 627 726 836 866 1111 1212 1254 1299 1452 1732 1919 2222 2299 2508 2598 3333 3838 4444 4598 4763 5196 5757 6666 6897 7676 8227 9196 9526 11514 12221 13332 13794 14289 16454 19052 21109 23028 24442 24681 27588 28578 32908 36663 42218 43733 48884 49362 52393 57156 63327 73326 84436 87466 90497 98724 104786 126654 131199 146652 157179 174932 180994 209572 232199 253308 262398 271491 314358 361988 464398 481063 524796 542982 628716 696597 830927 928796 962126 995467 1085964 1393194 1443189 1661854 1924252 1990934 2492781 2786388 2886378 2986401 3323708 3981868 4985562 5291693 5772756 5972802 9140197 9971124 10583386 11945604 15875079 18280394 21166772 27420591 31750158 36560788 54841182 63500316 100542167 109682364 201084334 301626501 402168668 603253002 1206506004