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1135057842 = 232437691907
BaseRepresentation
bin100001110100111…
…1001101110110010
32221002210220122100
41003221321232302
54311033322332
6304344121230
740061555352
oct10351715662
92832726570
101135057842
1153278a836
12278166216
13151206b79
14aaa66b62
15699ad67c
hex43a79bb2

1135057842 has 48 divisors (see below), whose sum is σ = 2521078560. Its totient is φ = 368879616.

The previous prime is 1135057841. The next prime is 1135057867. The reversal of 1135057842 is 2487505311.

1135057842 is a `hidden beast` number, since 11 + 35 + 0 + 578 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1135057797 and 1135057806.

It is not an unprimeable number, because it can be changed into a prime (1135057841) 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 23 ways as a sum of consecutive naturals, for example, 594253 + ... + 596159.

It is an arithmetic number, because the mean of its divisors is an integer number (52522470).

Almost surely, 21135057842 is an apocalyptic number.

1135057842 is an abundant number, since it is smaller than the sum of its proper divisors (1386020718).

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

1135057842 is a wasteful number, since it uses less digits than its factorization.

1135057842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1135057842 is about 33690.6194956400. The cubic root of 1135057842 is about 1043.1321508020.

The spelling of 1135057842 in words is "one billion, one hundred thirty-five million, fifty-seven thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 43 86 129 258 387 769 774 1538 1907 2307 3814 4614 5721 6921 11442 13842 17163 33067 34326 66134 82001 99201 164002 198402 246003 297603 492006 595206 738009 1466483 1476018 2932966 4399449 8798898 13198347 26396694 63058769 126117538 189176307 378352614 567528921 1135057842