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53130420 = 223257149283
BaseRepresentation
bin1100101010101…
…1010010110100
310200222022020100
43022223102310
5102100133140
65134434100
71213413120
oct312532264
9120868210
1053130420
1127a99742
1215962930
13b013225
1470b0580
1549e7530
hex32ab4b4

53130420 has 144 divisors (see below), whose sum is σ = 186076800. Its totient is φ = 12019968.

The previous prime is 53130401. The next prime is 53130421. The reversal of 53130420 is 2403135.

53130420 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 = 53130393 and 53130402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53130421) 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 47 ways as a sum of consecutive naturals, for example, 187599 + ... + 187881.

It is an arithmetic number, because the mean of its divisors is an integer number (1292200).

Almost surely, 253130420 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 53130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93038400).

53130420 is an abundant number, since it is smaller than the sum of its proper divisors (132946380).

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

53130420 is a wasteful number, since it uses less digits than its factorization.

53130420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 449 counting only the distinct ones).

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

The square root of 53130420 is about 7289.0616680064. The cubic root of 53130420 is about 375.9364329690.

Adding to 53130420 its reverse (2403135), we get a palindrome (55533555).

The spelling of 53130420 in words is "fifty-three million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 149 180 210 252 283 298 315 420 447 566 596 630 745 849 894 1043 1132 1260 1341 1415 1490 1698 1788 1981 2086 2235 2547 2682 2830 2980 3129 3396 3962 4172 4245 4470 5094 5215 5364 5660 5943 6258 6705 7924 8490 8940 9387 9905 10188 10430 11886 12516 12735 13410 15645 16980 17829 18774 19810 20860 23772 25470 26820 29715 31290 35658 37548 39620 42167 46935 50940 59430 62580 71316 84334 89145 93870 118860 126501 168668 178290 187740 210835 253002 295169 356580 379503 421670 506004 590338 632505 759006 843340 885507 1180676 1265010 1475845 1518012 1771014 1897515 2530020 2656521 2951690 3542028 3795030 4427535 5313042 5903380 7590060 8855070 10626084 13282605 17710140 26565210 53130420