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63520020 = 223252367229
BaseRepresentation
bin1111001001001…
…1110100010100
311102112011002100
43302103310110
5112230120040
610145242100
71400624364
oct362236424
9142464070
1063520020
1132945593
1219333330
1310210215
1486169a4
15589ab30
hex3c93d14

63520020 has 144 divisors (see below), whose sum is σ = 204946560. Its totient is φ = 15890688.

The previous prime is 63519977. The next prime is 63520031. The reversal of 63520020 is 2002536.

63520020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 63519975 and 63520002.

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 47 ways as a sum of consecutive naturals, for example, 277266 + ... + 277494.

It is an arithmetic number, because the mean of its divisors is an integer number (1423240).

Almost surely, 263520020 is an apocalyptic number.

63520020 is a gapful number since it is divisible by the number (60) 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 63520020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102473280).

63520020 is an abundant number, since it is smaller than the sum of its proper divisors (141426540).

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

63520020 is a wasteful number, since it uses less digits than its factorization.

63520020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 63520020 is about 7969.9447927824. The cubic root of 63520020 is about 398.9975314073.

Adding to 63520020 its reverse (2002536), we get a palindrome (65522556).

The spelling of 63520020 in words is "sixty-three million, five hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 67 69 90 92 115 134 138 180 201 207 229 230 268 276 335 345 402 414 458 460 603 670 687 690 804 828 916 1005 1035 1145 1206 1340 1374 1380 1541 2010 2061 2070 2290 2412 2748 3015 3082 3435 4020 4122 4140 4580 4623 5267 6030 6164 6870 7705 8244 9246 10305 10534 12060 13740 13869 15343 15410 15801 18492 20610 21068 23115 26335 27738 30686 30820 31602 41220 46029 46230 47403 52670 55476 61372 63204 69345 76715 79005 92058 92460 94806 105340 138087 138690 153430 158010 184116 189612 230145 237015 276174 277380 306860 316020 352889 460290 474030 552348 690435 705778 920580 948060 1058667 1380870 1411556 1764445 2117334 2761740 3176001 3528890 4234668 5293335 6352002 7057780 10586670 12704004 15880005 21173340 31760010 63520020