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54212620 = 225721147107
BaseRepresentation
bin1100111011001…
…1100000001100
310210000021201211
43032303200030
5102334300440
65213544204
71225541200
oct316634014
9123007654
1054212620
1128668820
12161a5064
13b301997
1472b2b00
154b5ceea
hex33b380c

54212620 has 144 divisors (see below), whose sum is σ = 148925952. Its totient is φ = 16383360.

The previous prime is 54212603. The next prime is 54212657. The reversal of 54212620 is 2621245.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 54212591 and 54212600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506607 + ... + 506713.

It is an arithmetic number, because the mean of its divisors is an integer number (1034208).

Almost surely, 254212620 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 54212620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74462976).

54212620 is an abundant number, since it is smaller than the sum of its proper divisors (94713332).

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

54212620 is a wasteful number, since it uses less digits than its factorization.

54212620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 54212620 is about 7362.9219743251. The cubic root of 54212620 is about 378.4717475438.

Adding to 54212620 its reverse (2621245), we get a palindrome (56833865).

The spelling of 54212620 in words is "fifty-four million, two hundred twelve thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 47 49 55 70 77 94 98 107 110 140 154 188 196 214 220 235 245 308 329 385 428 470 490 517 535 539 658 749 770 940 980 1034 1070 1078 1177 1316 1498 1540 1645 2068 2140 2156 2303 2354 2585 2695 2996 3290 3619 3745 4606 4708 5029 5170 5243 5390 5885 6580 7238 7490 8239 9212 10058 10340 10486 10780 11515 11770 14476 14980 16478 18095 20116 20972 23030 23540 25145 25333 26215 32956 35203 36190 41195 46060 50290 50666 52430 55319 57673 70406 72380 82390 100580 101332 104860 110638 115346 126665 140812 164780 176015 221276 230692 246421 253330 276595 288365 352030 387233 492842 506660 553190 576730 704060 774466 985684 1106380 1153460 1232105 1548932 1936165 2464210 2710631 3872330 4928420 5421262 7744660 10842524 13553155 27106310 54212620