Search a number
-
+
1126402004 = 2272131953439
BaseRepresentation
bin100001100100011…
…1000011111010100
32220111112011001202
41003020320133110
54301324331004
6303434412032
736625154600
oct10310703724
92814464052
101126402004
11528908552
12275291018
1314c496080
14a9852500
1568d4db1e
hex432387d4

1126402004 has 144 divisors (see below), whose sum is σ = 2654467200. Its totient is φ = 413247744.

The previous prime is 1126402003. The next prime is 1126402049. The reversal of 1126402004 is 4002046211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126402001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2565617 + ... + 2566055.

It is an arithmetic number, because the mean of its divisors is an integer number (18433800).

Almost surely, 21126402004 is an apocalyptic number.

1126402004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1126402004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327233600).

1126402004 is an abundant number, since it is smaller than the sum of its proper divisors (1528065196).

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

1126402004 is a wasteful number, since it uses less digits than its factorization.

1126402004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1126402004 is about 33561.9129967289. The cubic root of 1126402004 is about 1040.4737745227.

Adding to 1126402004 its reverse (4002046211), we get a palindrome (5128448215).

The spelling of 1126402004 in words is "one billion, one hundred twenty-six million, four hundred two thousand, four".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 53 76 91 98 106 133 182 196 212 247 266 364 371 439 494 532 637 689 742 878 931 988 1007 1274 1378 1484 1729 1756 1862 2014 2548 2597 2756 3073 3458 3724 4028 4823 5194 5707 6146 6916 7049 8341 9646 10388 11414 12103 12292 13091 14098 16682 19292 21511 22828 23267 24206 26182 28196 33364 33761 39949 43022 46534 48412 49343 52364 58387 67522 79898 86044 91637 93068 98686 108433 116774 135044 159796 162869 183274 197372 216866 233548 279643 302471 325738 366548 408709 433732 442073 559286 604942 641459 651476 759031 817418 884146 1118572 1140083 1209884 1282918 1518062 1634836 1768292 2117297 2280166 2565836 3036124 3094511 4234594 4560332 5313217 5746949 6189022 8469188 10626434 11493898 12378044 14821079 21252868 21661577 22987796 29642158 40228643 43323154 59284316 80457286 86646308 160914572 281600501 563201002 1126402004