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1132003140 = 2235179831129
BaseRepresentation
bin100001101111000…
…1111111101000100
32220220001201101020
41003132033331010
54304243100030
6304154431140
740023603462
oct10336177504
92826051336
101132003140
11530a93794
122771324b0
131506a7658
14aa4ad832
15695a8510
hex4378ff44

1132003140 has 96 divisors (see below), whose sum is σ = 3362446080. Its totient is φ = 283570176.

The previous prime is 1132003133. The next prime is 1132003163. The reversal of 1132003140 is 413002311.

It is a super-2 number, since 2×11320031402 = 2562862217939719200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1002096 + ... + 1003224.

It is an arithmetic number, because the mean of its divisors is an integer number (35025480).

Almost surely, 21132003140 is an apocalyptic number.

1132003140 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 1132003140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681223040).

1132003140 is an abundant number, since it is smaller than the sum of its proper divisors (2230442940).

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

1132003140 is a wasteful number, since it uses less digits than its factorization.

1132003140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1132003140 is about 33645.2543458955. The cubic root of 1132003140 is about 1042.1955404878.

Adding to 1132003140 its reverse (413002311), we get a palindrome (1545005451).

The spelling of 1132003140 in words is "one billion, one hundred thirty-two million, three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 983 1020 1129 1966 2258 2949 3387 3932 4516 4915 5645 5898 6774 9830 11290 11796 13548 14745 16711 16935 19193 19660 22580 29490 33422 33870 38386 50133 57579 58980 66844 67740 76772 83555 95965 100266 115158 167110 191930 200532 230316 250665 287895 334220 383860 501330 575790 1002660 1109807 1151580 2219614 3329421 4439228 5549035 6658842 11098070 13317684 16647105 18866719 22196140 33294210 37733438 56600157 66588420 75466876 94333595 113200314 188667190 226400628 283000785 377334380 566001570 1132003140