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1125041320 = 2351323109863
BaseRepresentation
bin100001100001110…
…1100010010101000
32220101222000120001
41003003230102220
54301002310240
6303345312344
736610456564
oct10303542250
92811860501
101125041320
11528069217
122749356b4
1314c10a930
14a95ba6a4
1568b8089a
hex430ec4a8

1125041320 has 128 divisors (see below), whose sum is σ = 2874009600. Its totient is φ = 393237504.

The previous prime is 1125041299. The next prime is 1125041321. The reversal of 1125041320 is 231405211.

It is not an unprimeable number, because it can be changed into a prime (1125041321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1303209 + ... + 1304071.

It is an arithmetic number, because the mean of its divisors is an integer number (22453200).

Almost surely, 21125041320 is an apocalyptic number.

1125041320 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 1125041320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437004800).

1125041320 is an abundant number, since it is smaller than the sum of its proper divisors (1748968280).

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

1125041320 is a wasteful number, since it uses less digits than its factorization.

1125041320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1125041320 is about 33541.6356190332. The cubic root of 1125041320 is about 1040.0546445647.

Adding to 1125041320 its reverse (231405211), we get a palindrome (1356446531).

The spelling of 1125041320 in words is "one billion, one hundred twenty-five million, forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 109 115 130 184 218 230 260 299 436 460 520 545 598 863 872 920 1090 1196 1417 1495 1726 2180 2392 2507 2834 2990 3452 4315 4360 5014 5668 5980 6904 7085 8630 10028 11219 11336 11960 12535 14170 17260 19849 20056 22438 25070 28340 32591 34520 39698 44876 50140 56095 56680 65182 79396 89752 94067 99245 100280 112190 130364 158792 162955 188134 198490 224380 258037 260728 325910 376268 396980 448760 470335 516074 651820 752536 793960 940670 1032148 1222871 1290185 1303640 1881340 2064296 2163541 2445742 2580370 3762680 4327082 4891484 5160740 6114355 8654164 9782968 10321480 10817705 12228710 17308328 21635410 24457420 28126033 43270820 48914840 56252066 86541640 112504132 140630165 225008264 281260330 562520660 1125041320