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96045120 = 2632533349
BaseRepresentation
bin1011011100110…
…00100001000000
320200201121010200
411232120201000
5144041420440
613310325200
72244240633
oct556304100
9220647120
1096045120
114a240136
12281b9800
1316b8a642
14ca81c1a
158672c30
hex5b98840

96045120 has 84 divisors (see below), whose sum is σ = 330365100. Its totient is φ = 25611264.

The previous prime is 96045077. The next prime is 96045127. The reversal of 96045120 is 2154069.

96045120 is a `hidden beast` number, since 9 + 604 + 51 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70157376 + 25887744 = 8376^2 + 5088^2 .

It is not an unprimeable number, because it can be changed into a prime (96045127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13795 + ... + 19554.

Almost surely, 296045120 is an apocalyptic number.

96045120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96045120 is an abundant number, since it is smaller than the sum of its proper divisors (234319980).

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

96045120 is a wasteful number, since it uses less digits than its factorization.

96045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33372 (or 33359 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 96045120 is about 9800.2612210083. The cubic root of 96045120 is about 457.9574212116.

Adding to 96045120 its reverse (2154069), we get a palindrome (98199189).

The spelling of 96045120 in words is "ninety-six million, forty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 33349 66698 100047 133396 166745 200094 266792 300141 333490 400188 500235 533584 600282 666980 800376 1000470 1067168 1200564 1333960 1500705 1600752 2000940 2134336 2401128 2667920 3001410 3201504 4001880 4802256 5335840 6002820 6403008 8003760 9604512 10671680 12005640 16007520 19209024 24011280 32015040 48022560 96045120