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538074720 = 253253710099
BaseRepresentation
bin100000000100100…
…101111001100000
31101111111000202100
4200010211321200
52100221342340
6125220450400
716222362651
oct4004457140
91344430670
10538074720
11256802557
12130249a00
1387626511
1451667528
1532389830
hex20125e60

538074720 has 144 divisors (see below), whose sum is σ = 1885993200. Its totient is φ = 139594752.

The previous prime is 538074689. The next prime is 538074727. The reversal of 538074720 is 27470835.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538074727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48231 + ... + 58329.

It is an arithmetic number, because the mean of its divisors is an integer number (13097175).

Almost surely, 2538074720 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 538074720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942996600).

538074720 is an abundant number, since it is smaller than the sum of its proper divisors (1347918480).

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

538074720 is a wasteful number, since it uses less digits than its factorization.

538074720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10157 (or 10146 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 538074720 is about 23196.4376575370. The cubic root of 538074720 is about 813.3563521808.

The spelling of 538074720 in words is "five hundred thirty-eight million, seventy-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 72 74 80 90 96 111 120 144 148 160 180 185 222 240 288 296 333 360 370 444 480 555 592 666 720 740 888 1110 1184 1332 1440 1480 1665 1776 2220 2664 2960 3330 3552 4440 5328 5920 6660 8880 10099 10656 13320 17760 20198 26640 30297 40396 50495 53280 60594 80792 90891 100990 121188 151485 161584 181782 201980 242376 302970 323168 363564 373663 403960 454455 484752 605940 727128 747326 807920 908910 969504 1120989 1211880 1454256 1494652 1615840 1817820 1868315 2241978 2423760 2908512 2989304 3362967 3635640 3736630 4483956 4847520 5604945 5978608 6725934 7271280 7473260 8967912 11209890 11957216 13451868 14542560 14946520 16814835 17935824 22419780 26903736 29893040 33629670 35871648 44839560 53807472 59786080 67259340 89679120 107614944 134518680 179358240 269037360 538074720