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122652020 = 22529211469
BaseRepresentation
bin1110100111110…
…00010101110100
322112210100221102
413103320111310
5222344331040
620100505232
73016345031
oct723702564
9275710842
10122652020
1163263307
12350ab218
131c54507a
141240a388
15ab7b515
hex74f8574

122652020 has 24 divisors (see below), whose sum is σ = 266452200. Its totient is φ = 47368832.

The previous prime is 122652001. The next prime is 122652043. The reversal of 122652020 is 20256221.

It can be written as a sum of positive squares in 4 ways, for example, as 15570916 + 107081104 = 3946^2 + 10348^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122651983 and 122652001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105155 + ... + 106314.

It is an arithmetic number, because the mean of its divisors is an integer number (11102175).

Almost surely, 2122652020 is an apocalyptic number.

122652020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122652020 is an abundant number, since it is smaller than the sum of its proper divisors (143800180).

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

122652020 is a wasteful number, since it uses less digits than its factorization.

122652020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211507 (or 211505 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 122652020 is about 11074.8372448538. The cubic root of 122652020 is about 496.8495510350.

The spelling of 122652020 in words is "one hundred twenty-two million, six hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 211469 422938 845876 1057345 2114690 4229380 6132601 12265202 24530404 30663005 61326010 122652020