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1125540020 = 2251147199547
BaseRepresentation
bin100001100010110…
…0110000010110100
32220102220100122102
41003011212002310
54301114240040
6303404121232
736614634533
oct10305460264
92812810572
101125540020
11528379970
12274b36218
1314c253917
14a96aa31a
1568c2d515
hex431660b4

1125540020 has 96 divisors (see below), whose sum is σ = 2651443200. Its totient is φ = 397837440.

The previous prime is 1125540011. The next prime is 1125540047. The reversal of 1125540020 is 200455211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1125539974 and 1125540001.

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, 2057387 + ... + 2057933.

It is an arithmetic number, because the mean of its divisors is an integer number (27619200).

Almost surely, 21125540020 is an apocalyptic number.

1125540020 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 1125540020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325721600).

1125540020 is an abundant number, since it is smaller than the sum of its proper divisors (1525903180).

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

1125540020 is a wasteful number, since it uses less digits than its factorization.

1125540020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1125540020 is about 33549.0688395371. The cubic root of 1125540020 is about 1040.2082977751.

Adding to 1125540020 its reverse (200455211), we get a palindrome (1325995231).

It can be divided in two parts, 1125 and 540020, that added together give a palindrome (541145).

The spelling of 1125540020 in words is "one billion, one hundred twenty-five million, five hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 199 220 235 398 470 517 547 796 940 995 1034 1094 1990 2068 2188 2189 2585 2735 3980 4378 5170 5470 6017 8756 9353 10340 10940 10945 12034 18706 21890 24068 25709 30085 37412 43780 46765 51418 60170 93530 102836 102883 108853 120340 128545 187060 205766 217706 257090 282799 411532 435412 514180 514415 544265 565598 1028830 1088530 1131196 1197383 1413995 2057660 2177060 2394766 2827990 4789532 5116091 5655980 5986915 10232182 11973830 20464364 23947660 25580455 51160910 56277001 102321820 112554002 225108004 281385005 562770010 1125540020