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1000132020 = 223255556289
BaseRepresentation
bin111011100111001…
…100110110110100
32120200220222012200
4323213030312310
54022013211040
6243124144500
733532660536
oct7347146664
92520828180
101000132020
11473603a98
1223ab38130
1312c2852c4
1496b83856
155cc0a630
hex3b9ccdb4

1000132020 has 36 divisors (see below), whose sum is σ = 3033734340. Its totient is φ = 266701824.

The previous prime is 1000131991. The next prime is 1000132039. The reversal of 1000132020 is 202310001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 642014244 + 358117776 = 25338^2 + 18924^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000131993 and 1000132011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2777965 + ... + 2778324.

Almost surely, 21000132020 is an apocalyptic number.

1000132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000132020 is an abundant number, since it is smaller than the sum of its proper divisors (2033602320).

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

1000132020 is a wasteful number, since it uses less digits than its factorization.

1000132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5556304 (or 5556299 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1000132020 is about 31624.8639522765. The cubic root of 1000132020 is about 1000.0440047302.

Adding to 1000132020 its reverse (202310001), we get a palindrome (1202442021).

The spelling of 1000132020 in words is "one billion, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5556289 11112578 16668867 22225156 27781445 33337734 50006601 55562890 66675468 83344335 100013202 111125780 166688670 200026404 250033005 333377340 500066010 1000132020