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1075141536 = 25372228559
BaseRepresentation
bin100000000010101…
…0101101110100000
32202221001211220220
41000011111232200
54200214012121
6254404003040
735433360300
oct10005255640
92687054826
101075141536
11501986827
12260090480
13141989031
14a2b0b600
15645c56c6
hex40155ba0

1075141536 has 72 divisors (see below), whose sum is σ = 3283035840. Its totient is φ = 307181952.

The previous prime is 1075141519. The next prime is 1075141537. The reversal of 1075141536 is 6351415701.

It is a junction number, because it is equal to n+sod(n) for n = 1075141497 and 1075141506.

It is not an unprimeable number, because it can be changed into a prime (1075141537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109576 + ... + 118983.

It is an arithmetic number, because the mean of its divisors is an integer number (45597720).

Almost surely, 21075141536 is an apocalyptic number.

1075141536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1075141536 is an abundant number, since it is smaller than the sum of its proper divisors (2207894304).

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

1075141536 is a wasteful number, since it uses less digits than its factorization.

1075141536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228586 (or 228571 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 1075141536 is about 32789.3509542351. The cubic root of 1075141536 is about 1024.4447632555. Note that the first 3 decimals are identical.

The spelling of 1075141536 in words is "one billion, seventy-five million, one hundred forty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 228559 457118 685677 914236 1371354 1599913 1828472 2742708 3199826 3656944 4799739 5485416 6399652 7313888 9599478 10970832 11199391 12799304 19198956 21941664 22398782 25598608 33598173 38397912 44797564 51197216 67196346 76795824 89595128 134392692 153591648 179190256 268785384 358380512 537570768 1075141536