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2020150600 = 2352137611021
BaseRepresentation
bin111100001101001…
…0000110101001000
312012210021021122121
41320122100311020
513114124304400
6532242501024
7101026665616
oct17032206510
95183237577
102020150600
11947360056
12484664774
132626b11b0
141524226b6
15bc54321a
hex78690d48

2020150600 has 96 divisors (see below), whose sum is σ = 5069753640. Its totient is φ = 744192000.

The previous prime is 2020150589. The next prime is 2020150609. The reversal of 2020150600 is 60510202.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 144048004 + 1876102596 = 12002^2 + 43314^2 .

It is not an unprimeable number, because it can be changed into a prime (2020150609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1978090 + ... + 1979110.

Almost surely, 22020150600 is an apocalyptic number.

2020150600 is a gapful number since it is divisible by the number (20) 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 2020150600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534876820).

2020150600 is an abundant number, since it is smaller than the sum of its proper divisors (3049603040).

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

2020150600 is a wasteful number, since it uses less digits than its factorization.

2020150600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2020150600 is about 44946.0854802729. The cubic root of 2020150600 is about 1264.1382790156.

Adding to 2020150600 its reverse (60510202), we get a palindrome (2080660802).

The spelling of 2020150600 in words is "two billion, twenty million, one hundred fifty thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 761 1021 1300 1522 2042 2600 3044 3805 4084 5105 6088 7610 8168 9893 10210 13273 15220 19025 19786 20420 25525 26546 30440 38050 39572 40840 49465 51050 53092 66365 76100 79144 98930 102100 106184 132730 152200 197860 204200 247325 265460 331825 395720 494650 530920 663650 776981 989300 1327300 1553962 1978600 2654600 3107924 3884905 6215848 7769810 10100753 15539620 19424525 20201506 31079240 38849050 40403012 50503765 77698100 80806024 101007530 155396200 202015060 252518825 404030120 505037650 1010075300 2020150600