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54516420 = 2232573883
BaseRepresentation
bin1100111111110…
…1101011000100
310210120201110200
43033331223010
5102424011140
65224250500
71231245000
oct317755304
9123521420
1054516420
1128855aa2
1216310a30
13b3aa04a
147351700
154bbd030
hex33fdac4

54516420 has 144 divisors (see below), whose sum is σ = 193065600. Its totient is φ = 12446784.

The previous prime is 54516391. The next prime is 54516439. The reversal of 54516420 is 2461545.

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, 61299 + ... + 62181.

Almost surely, 254516420 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 54516420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96532800).

54516420 is an abundant number, since it is smaller than the sum of its proper divisors (138549180).

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

54516420 is a wasteful number, since it uses less digits than its factorization.

54516420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 54516420 is about 7383.5235490923. The cubic root of 54516420 is about 379.1773987758.

Adding to 54516420 its reverse (2461545), we get a palindrome (56977965).

The spelling of 54516420 in words is "fifty-four million, five hundred sixteen 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 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 343 420 441 490 588 630 686 735 882 883 980 1029 1260 1372 1470 1715 1764 1766 2058 2205 2649 2940 3087 3430 3532 4116 4410 4415 5145 5298 6174 6181 6860 7947 8820 8830 10290 10596 12348 12362 13245 15435 15894 17660 18543 20580 24724 26490 30870 30905 31788 37086 39735 43267 52980 55629 61740 61810 74172 79470 86534 92715 111258 123620 129801 158940 173068 185430 216335 222516 259602 278145 302869 370860 389403 432670 519204 556290 605738 649005 778806 865340 908607 1112580 1211476 1298010 1514345 1557612 1817214 1947015 2596020 2725821 3028690 3634428 3894030 4543035 5451642 6057380 7788060 9086070 10903284 13629105 18172140 27258210 54516420