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521355420 = 223352633671
BaseRepresentation
bin11111000100110…
…100000010011100
31100100000121012000
4133010310002130
52031431333140
6123422242300
715630306435
oct3704640234
91310017160
10521355420
11248323053
12126726390
1384021441
144d35448c
1530b85a30
hex1f13409c

521355420 has 96 divisors (see below), whose sum is σ = 1628605440. Its totient is φ = 138461760.

The previous prime is 521355413. The next prime is 521355433. The reversal of 521355420 is 24553125.

It is a happy number.

It is a super-2 number, since 2×5213554202 = 543622947926752800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 140185 + ... + 143855.

It is an arithmetic number, because the mean of its divisors is an integer number (16964640).

Almost surely, 2521355420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 521355420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814302720).

521355420 is an abundant number, since it is smaller than the sum of its proper divisors (1107250020).

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

521355420 is a wasteful number, since it uses less digits than its factorization.

521355420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 521355420 is about 22833.2087101222. The cubic root of 521355420 is about 804.8432342652.

The spelling of 521355420 in words is "five hundred twenty-one million, three hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 263 270 526 540 789 1052 1315 1578 2367 2630 3156 3671 3945 4734 5260 7101 7342 7890 9468 11013 11835 14202 14684 15780 18355 22026 23670 28404 33039 35505 36710 44052 47340 55065 66078 71010 73420 99117 110130 132156 142020 165195 198234 220260 330390 396468 495585 660780 965473 991170 1930946 1982340 2896419 3861892 4827365 5792838 8689257 9654730 11585676 14482095 17378514 19309460 26067771 28964190 34757028 43446285 52135542 57928380 86892570 104271084 130338855 173785140 260677710 521355420