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1131165952 = 287738647
BaseRepresentation
bin100001101101100…
…0011100100000000
32220211111011222021
41003123003210000
54304034302302
6304124451224
740013515630
oct10333034400
92824434867
101131165952
115305717a4
122769a9b14
13150473587
14aa3326c0
1569490437
hex436c3900

1131165952 has 72 divisors (see below), whose sum is σ = 2616123776. Its totient is φ = 478089216.

The previous prime is 1131165947. The next prime is 1131165979. The reversal of 1131165952 is 2595611311.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 126493 + ... + 135139.

Almost surely, 21131165952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131165952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308061888).

1131165952 is an abundant number, since it is smaller than the sum of its proper divisors (1484957824).

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

1131165952 is an frugal number, since it uses more digits than its factorization.

1131165952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8743 (or 8729 counting only the distinct ones).

The product of its digits is 8100, while the sum is 34.

The square root of 1131165952 is about 33632.8106467479. The cubic root of 1131165952 is about 1041.9385539269.

The spelling of 1131165952 in words is "one billion, one hundred thirty-one million, one hundred sixty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 146 224 256 292 448 511 584 896 1022 1168 1792 2044 2336 4088 4672 8176 8647 9344 16352 17294 18688 32704 34588 60529 65408 69176 121058 130816 138352 242116 276704 484232 553408 631231 968464 1106816 1262462 1936928 2213632 2524924 3873856 4418617 5049848 7747712 8837234 10099696 15495424 17674468 20199392 35348936 40398784 70697872 80797568 141395744 161595136 282791488 565582976 1131165952