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1120203140 = 2257193531193
BaseRepresentation
bin100001011000100…
…1111000110000100
32220001212012211012
41002301033012010
54243233000030
6303053501352
736521366240
oct10261170604
92801765735
101120203140
11525364221
122731a1858
1314b1056c4
14a8abb420
1568527095
hex42c4f184

1120203140 has 96 divisors (see below), whose sum is σ = 2840382720. Its totient is φ = 362520576.

The previous prime is 1120203113. The next prime is 1120203143. The reversal of 1120203140 is 413020211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1120203143) 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, 938384 + ... + 939576.

It is an arithmetic number, because the mean of its divisors is an integer number (29587320).

Almost surely, 21120203140 is an apocalyptic number.

1120203140 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 1120203140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420191360).

1120203140 is an abundant number, since it is smaller than the sum of its proper divisors (1720179580).

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

1120203140 is a wasteful number, since it uses less digits than its factorization.

1120203140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1120203140 is about 33469.4359080042. The cubic root of 1120203140 is about 1038.5616024825.

Adding to 1120203140 its reverse (413020211), we get a palindrome (1533223351).

The spelling of 1120203140 in words is "one billion, one hundred twenty million, two hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 353 380 532 665 706 1193 1330 1412 1765 2386 2471 2660 3530 4772 4942 5965 6707 7060 8351 9884 11930 12355 13414 16702 22667 23860 24710 26828 33404 33535 41755 45334 46949 49420 67070 83510 90668 93898 113335 134140 158669 167020 187796 226670 234745 317338 421129 453340 469490 634676 793345 842258 938980 1586690 1684516 2105645 2947903 3173380 4211290 5895806 8001451 8422580 11791612 14739515 16002902 29479030 32005804 40007255 56010157 58958060 80014510 112020314 160029020 224040628 280050785 560101570 1120203140