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1132324500 = 223532321427
BaseRepresentation
bin100001101111101…
…1110011010010100
32220220200001012110
41003133132122110
54304333341000
6304205351020
740026412416
oct10337363224
92826601173
101132324500
1153119317a
12277268470
1315078a9c8
14aa5549b6
156961d850
hex437de694

1132324500 has 144 divisors (see below), whose sum is σ = 3449339712. Its totient is φ = 288622400.

The previous prime is 1132324471. The next prime is 1132324541. The reversal of 1132324500 is 54232311.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 792787 + ... + 794213.

It is an arithmetic number, because the mean of its divisors is an integer number (23953748).

Almost surely, 21132324500 is an apocalyptic number.

1132324500 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 1132324500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724669856).

1132324500 is an abundant number, since it is smaller than the sum of its proper divisors (2317015212).

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

1132324500 is a wasteful number, since it uses less digits than its factorization.

1132324500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1132324500 is about 33650.0297176689. The cubic root of 1132324500 is about 1042.2941527793.

Adding to 1132324500 its reverse (54232311), we get a palindrome (1186556811).

The spelling of 1132324500 in words is "one billion, one hundred thirty-two million, three hundred twenty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 125 138 150 230 250 276 300 345 375 460 500 529 575 690 750 1058 1150 1380 1427 1500 1587 1725 2116 2300 2645 2854 2875 3174 3450 4281 5290 5708 5750 6348 6900 7135 7935 8562 8625 10580 11500 13225 14270 15870 17124 17250 21405 26450 28540 31740 32821 34500 35675 39675 42810 52900 65642 66125 71350 79350 85620 98463 107025 131284 132250 142700 158700 164105 178375 196926 198375 214050 264500 328210 356750 393852 396750 428100 492315 535125 656420 713500 754883 793500 820525 984630 1070250 1509766 1641050 1969260 2140500 2264649 2461575 3019532 3282100 3774415 4102625 4529298 4923150 7548830 8205250 9058596 9846300 11323245 12307875 15097660 16410500 18872075 22646490 24615750 37744150 45292980 49231500 56616225 75488300 94360375 113232450 188720750 226464900 283081125 377441500 566162250 1132324500