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122578020 = 22325680989
BaseRepresentation
bin1110100111001…
…10010001100100
322112122121102200
413103212101210
5222334444040
620055134500
73015616215
oct723462144
9275577380
10122578020
1163212754
1235074430
131c51a496
14123cb40c
15ab64630
hex74e6464

122578020 has 36 divisors (see below), whose sum is σ = 371820540. Its totient is φ = 32687424.

The previous prime is 122577997. The next prime is 122578033. The reversal of 122578020 is 20875221.

It can be written as a sum of positive squares in 2 ways, for example, as 19027044 + 103550976 = 4362^2 + 10176^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 340315 + ... + 340674.

Almost surely, 2122578020 is an apocalyptic number.

122578020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122578020 is an abundant number, since it is smaller than the sum of its proper divisors (249242520).

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

122578020 is a wasteful number, since it uses less digits than its factorization.

122578020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681004 (or 680999 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 122578020 is about 11071.4958338971. The cubic root of 122578020 is about 496.7496090379.

The spelling of 122578020 in words is "one hundred twenty-two million, five hundred seventy-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 680989 1361978 2042967 2723956 3404945 4085934 6128901 6809890 8171868 10214835 12257802 13619780 20429670 24515604 30644505 40859340 61289010 122578020