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122452020 = 223351713339
BaseRepresentation
bin1110100110001…
…11100000110100
322112102012121000
413103013200310
5222321431040
620052323300
73014552655
oct723074064
9275365530
10122452020
1163137019
1235013530
131c4a5022
141239752c
15ab3c130
hex74c7834

122452020 has 96 divisors (see below), whose sum is σ = 403401600. Its totient is φ = 30730752.

The previous prime is 122452013. The next prime is 122452021. The reversal of 122452020 is 20254221.

122452020 is a `hidden beast` number, since 122 + 4 + 520 + 20 = 666.

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 = 122451984 and 122452002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122452021) 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 31 ways as a sum of consecutive naturals, for example, 2511 + ... + 15849.

It is an arithmetic number, because the mean of its divisors is an integer number (4202100).

Almost surely, 2122452020 is an apocalyptic number.

122452020 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 122452020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201700800).

122452020 is an abundant number, since it is smaller than the sum of its proper divisors (280949580).

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

122452020 is a wasteful number, since it uses less digits than its factorization.

122452020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13374 (or 13366 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 122452020 is about 11065.8040828491. The cubic root of 122452020 is about 496.5793449375.

The spelling of 122452020 in words is "one hundred twenty-two million, four hundred fifty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 13339 26678 40017 53356 66695 80034 120051 133390 160068 200085 226763 240102 266780 360153 400170 453526 480204 600255 680289 720306 800340 907052 1133815 1200510 1360578 1440612 1800765 2040867 2267630 2401020 2721156 3401445 3601530 4081734 4535260 6122601 6802890 7203060 8163468 10204335 12245202 13605780 20408670 24490404 30613005 40817340 61226010 122452020