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1150005150 = 2325272912589
BaseRepresentation
bin100010010001011…
…1010111110011110
32222010221022111100
41010202322332132
54323400131100
6310040333530
740332611460
oct10442727636
92863838440
101150005150
11540169988
122811742a6
1315433b528
14aca38130
156ae62400
hex448baf9e

1150005150 has 144 divisors (see below), whose sum is σ = 3653114400. Its totient is φ = 253774080.

The previous prime is 1150005149. The next prime is 1150005151. The reversal of 1150005150 is 515000511.

1150005150 is a `hidden beast` number, since 1 + 150 + 0 + 0 + 515 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1150005149) and next prime (1150005151).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1150005151) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 85056 + ... + 97644.

It is an arithmetic number, because the mean of its divisors is an integer number (25368850).

Almost surely, 21150005150 is an apocalyptic number.

1150005150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1150005150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826557200).

1150005150 is an abundant number, since it is smaller than the sum of its proper divisors (2503109250).

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

1150005150 is a wasteful number, since it uses less digits than its factorization.

1150005150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12643 (or 12635 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The square root of 1150005150 is about 33911.7258481487. The cubic root of 1150005150 is about 1047.6911171117.

Adding to 1150005150 its reverse (515000511), we get a palindrome (1665005661).

The spelling of 1150005150 in words is "one billion, one hundred fifty million, five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 29 30 35 42 45 50 58 63 70 75 87 90 105 126 145 150 174 175 203 210 225 261 290 315 350 406 435 450 522 525 609 630 725 870 1015 1050 1218 1305 1450 1575 1827 2030 2175 2610 3045 3150 3654 4350 5075 6090 6525 9135 10150 12589 13050 15225 18270 25178 30450 37767 45675 62945 75534 88123 91350 113301 125890 176246 188835 226602 264369 314725 365081 377670 440615 528738 566505 629450 730162 793107 881230 944175 1095243 1133010 1321845 1586214 1825405 1888350 2190486 2203075 2555567 2643690 2832525 3285729 3650810 3965535 4406150 5111134 5476215 5665050 6571458 6609225 7666701 7931070 9127025 10952430 12777835 13218450 15333402 16428645 18254050 19827675 23000103 25555670 27381075 32857290 38333505 39655350 46000206 54762150 63889175 76667010 82143225 115000515 127778350 164286450 191667525 230001030 383335050 575002575 1150005150