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1125454140 = 223257397883
BaseRepresentation
bin100001100010101…
…0001000100111100
32220102201222211200
41003011101010330
54301104013030
6303402215500
736614126256
oct10305210474
92812658750
101125454140
11528320398
12274ab4590
1314c2237c5
14a9686cd6
1568c12d60
hex4315113c

1125454140 has 144 divisors (see below), whose sum is σ = 3500279328. Its totient is φ = 292626432.

The previous prime is 1125454097. The next prime is 1125454177. The reversal of 1125454140 is 414545211.

1125454140 is a `hidden beast` number, since 112 + 5 + 4 + 541 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1274139 + ... + 1275021.

Almost surely, 21125454140 is an apocalyptic number.

1125454140 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 1125454140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750139664).

1125454140 is an abundant number, since it is smaller than the sum of its proper divisors (2374825188).

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

1125454140 is a wasteful number, since it uses less digits than its factorization.

1125454140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 1125454140 is about 33547.7888988231. The cubic root of 1125454140 is about 1040.1818407384.

Adding to 1125454140 its reverse (414545211), we get a palindrome (1539999351).

The spelling of 1125454140 in words is "one billion, one hundred twenty-five million, four hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 97 146 180 194 219 291 292 365 388 438 485 582 657 730 873 876 883 970 1095 1164 1314 1455 1460 1746 1766 1940 2190 2628 2649 2910 3285 3492 3532 4365 4380 4415 5298 5820 6570 7081 7947 8730 8830 10596 13140 13245 14162 15894 17460 17660 21243 26490 28324 31788 35405 39735 42486 52980 63729 64459 70810 79470 84972 85651 106215 127458 128918 141620 158940 171302 193377 212430 254916 256953 257836 318645 322295 342604 386754 424860 428255 513906 580131 637290 644590 770859 773508 856510 966885 1027812 1160262 1274580 1284765 1289180 1541718 1713020 1933770 2320524 2569530 2900655 3083436 3854295 3867540 5139060 5801310 6252523 7708590 11602620 12505046 15417180 18757569 25010092 31262615 37515138 56272707 62525230 75030276 93787845 112545414 125050460 187575690 225090828 281363535 375151380 562727070 1125454140