Search a number
-
+
1122135504 = 243753611033
BaseRepresentation
bin100001011100010…
…0110110111010000
32220012111101112020
41002320212313100
54244231314004
6303203131440
736543665040
oct10270466720
92805441466
101122135504
11526464016
12273973b80
1314b631109
14a9061720
15687a98d9
hex42e26dd0

1122135504 has 160 divisors (see below), whose sum is σ = 3434137344. Its totient is φ = 309104640.

The previous prime is 1122135493. The next prime is 1122135527. The reversal of 1122135504 is 4055312211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1085772 + ... + 1086804.

Almost surely, 21122135504 is an apocalyptic number.

1122135504 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 1122135504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717068672).

1122135504 is an abundant number, since it is smaller than the sum of its proper divisors (2312001840).

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

1122135504 is a wasteful number, since it uses less digits than its factorization.

1122135504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1122135504 is about 33498.2910608885. The cubic root of 1122135504 is about 1039.1584365512.

Adding to 1122135504 its reverse (4055312211), we get a palindrome (5177447715).

The spelling of 1122135504 in words is "one billion, one hundred twenty-two million, one hundred thirty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 61 84 106 112 122 159 168 183 212 244 318 336 366 371 424 427 488 636 732 742 848 854 976 1033 1113 1272 1281 1464 1484 1708 2066 2226 2544 2562 2928 2968 3099 3233 3416 4132 4452 5124 5936 6198 6466 6832 7231 8264 8904 9699 10248 12396 12932 14462 16528 17808 19398 20496 21693 22631 24792 25864 28924 38796 43386 45262 49584 51728 54749 57848 63013 67893 77592 86772 90524 109498 115696 126026 135786 155184 164247 173544 181048 189039 218996 252052 271572 328494 347088 362096 378078 383243 437992 441091 504104 543144 656988 756156 766486 875984 882182 1008208 1086288 1149729 1313976 1323273 1512312 1532972 1764364 2299458 2627952 2646546 3024624 3065944 3339689 3528728 4598916 5293092 6131888 6679378 7057456 9197832 10019067 10586184 13358756 18395664 20038134 21172368 23377823 26717512 40076268 46755646 53435024 70133469 80152536 93511292 140266938 160305072 187022584 280533876 374045168 561067752 1122135504