Search a number
-
+
1123051440 = 243572392797
BaseRepresentation
bin100001011110000…
…0110011110110000
32220021012220221210
41002330012132300
54300000121230
6303234520120
736554531310
oct10274063660
92807186853
101123051440
11526a2a195
12274136040
1314b891ca4
14a921d440
15688daeb0
hex42f067b0

1123051440 has 160 divisors (see below), whose sum is σ = 3996887040. Its totient is φ = 255532032.

The previous prime is 1123051409. The next prime is 1123051469. The reversal of 1123051440 is 441503211.

It is a super-2 number, since 2×11230514402 = 2522489073772147200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 400122 + ... + 402918.

It is an arithmetic number, because the mean of its divisors is an integer number (24980544).

Almost surely, 21123051440 is an apocalyptic number.

1123051440 is a gapful number since it is divisible by the number (10) 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 1123051440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998443520).

1123051440 is an abundant number, since it is smaller than the sum of its proper divisors (2873835600).

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

1123051440 is a wasteful number, since it uses less digits than its factorization.

1123051440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1123051440 is about 33511.9596562183. The cubic root of 1123051440 is about 1039.4410951571.

Adding to 1123051440 its reverse (441503211), we get a palindrome (1564554651).

The spelling of 1123051440 in words is "one billion, one hundred twenty-three million, fifty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 239 240 280 336 420 478 560 717 840 956 1195 1434 1673 1680 1912 2390 2797 2868 3346 3585 3824 4780 5019 5594 5736 6692 7170 8365 8391 9560 10038 11188 11472 13384 13985 14340 16730 16782 19120 19579 20076 22376 25095 26768 27970 28680 33460 33564 39158 40152 41955 44752 50190 55940 57360 58737 66920 67128 78316 80304 83910 97895 100380 111880 117474 133840 134256 156632 167820 195790 200760 223760 234948 293685 313264 335640 391580 401520 469896 587370 668483 671280 783160 939792 1174740 1336966 1566320 2005449 2349480 2673932 3342415 4010898 4679381 4698960 5347864 6684830 8021796 9358762 10027245 10695728 13369660 14038143 16043592 18717524 20054490 23396905 26739320 28076286 32087184 37435048 40108980 46793810 53478640 56152572 70190715 74870096 80217960 93587620 112305144 140381430 160435920 187175240 224610288 280762860 374350480 561525720 1123051440