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1660101120 = 2932572053
BaseRepresentation
bin110001011110011…
…0010001000000000
311021200202212121200
41202330302020000
511344441213440
6432421421200
756065424646
oct14274621000
94250685550
101660101120
117820a15a7
123a3b6a800
13205c19a72
1411a69b196
159ab21c30
hex62f32200

1660101120 has 120 divisors (see below), whose sum is σ = 5749476876. Its totient is φ = 442687488.

The previous prime is 1660101071. The next prime is 1660101127. The reversal of 1660101120 is 211010661.

1660101120 is a `hidden beast` number, since 1 + 660 + 1 + 0 + 1 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1507924224 + 152176896 = 38832^2 + 12336^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 1660101093 and 1660101102.

It is not an unprimeable number, because it can be changed into a prime (1660101127) 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, 12987 + ... + 59066.

Almost surely, 21660101120 is an apocalyptic number.

1660101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1660101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874738438).

1660101120 is an abundant number, since it is smaller than the sum of its proper divisors (4089375756).

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

1660101120 is an equidigital number, since it uses as much as digits as its factorization.

1660101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72082 (or 72063 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1660101120 is about 40744.3385024226. The cubic root of 1660101120 is about 1184.0721894139.

Adding to 1660101120 its reverse (211010661), we get a palindrome (1871111781).

The spelling of 1660101120 in words is "one billion, six hundred sixty million, one hundred one 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 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 72053 144106 216159 288212 360265 432318 576424 648477 720530 864636 1080795 1152848 1296954 1441060 1729272 2161590 2305696 2593908 2882120 3242385 3458544 4323180 4611392 5187816 5764240 6484770 6917088 8646360 9222784 10375632 11528480 12969540 13834176 17292720 18445568 20751264 23056960 25939080 27668352 34585440 36891136 41502528 46113920 51878160 55336704 69170880 83005056 92227840 103756320 110673408 138341760 166010112 184455680 207512640 276683520 332020224 415025280 553367040 830050560 1660101120