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1040132500 = 225411109347
BaseRepresentation
bin111101111111110…
…010100110010100
32200111012012112221
4331333302212110
54112233220000
6251113352124
734526660161
oct7577624624
92614165487
101040132500
11494144a40
12250408644
1313764c124
149c1d7068
15614ac61a
hex3dff2994

1040132500 has 120 divisors (see below), whose sum is σ = 2511321120. Its totient is φ = 373680000.

The previous prime is 1040132497. The next prime is 1040132501. The reversal of 1040132500 is 52310401.

It is a super-3 number, since 3×10401325003 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040132501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2997327 + ... + 2997673.

It is an arithmetic number, because the mean of its divisors is an integer number (20927676).

Almost surely, 21040132500 is an apocalyptic number.

1040132500 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 1040132500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255660560).

1040132500 is an abundant number, since it is smaller than the sum of its proper divisors (1471188620).

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

1040132500 is a wasteful number, since it uses less digits than its factorization.

1040132500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1040132500 is about 32251.0852530578. The cubic root of 1040132500 is about 1013.2024287947.

Adding to 1040132500 its reverse (52310401), we get a palindrome (1092442901).

The spelling of 1040132500 in words is "one billion, forty million, one hundred thirty-two thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 109 110 125 218 220 250 275 347 436 500 545 550 625 694 1090 1100 1199 1250 1375 1388 1735 2180 2398 2500 2725 2750 3470 3817 4796 5450 5500 5995 6875 6940 7634 8675 10900 11990 13625 13750 15268 17350 19085 23980 27250 27500 29975 34700 37823 38170 43375 54500 59950 68125 75646 76340 86750 95425 119900 136250 149875 151292 173500 189115 190850 216875 272500 299750 378230 381700 416053 433750 477125 599500 749375 756460 832106 867500 945575 954250 1498750 1664212 1891150 1908500 2080265 2385625 2997500 3782300 4160530 4727875 4771250 8321060 9455750 9542500 10401325 18911500 20802650 23639375 41605300 47278750 52006625 94557500 104013250 208026500 260033125 520066250 1040132500