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520416720 = 243253472083
BaseRepresentation
bin11111000001001…
…110110111010000
31100021020220112100
4133001032313100
52031211313340
6123350200400
715616316625
oct3701166720
91307226470
10520416720
1124784186a
12126353100
1383a830b5
144d18c34c
1530a4c830
hex1f04edd0

520416720 has 120 divisors (see below), whose sum is σ = 1753610976. Its totient is φ = 138311424.

The previous prime is 520416719. The next prime is 520416749. The reversal of 520416720 is 27614025.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248799 + ... + 250881.

Almost surely, 2520416720 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 520416720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876805488).

520416720 is an abundant number, since it is smaller than the sum of its proper divisors (1233194256).

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

520416720 is a wasteful number, since it uses less digits than its factorization.

520416720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 520416720 is about 22812.6438625601. The cubic root of 520416720 is about 804.3599042126.

The spelling of 520416720 in words is "five hundred twenty million, four hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 347 360 694 720 1041 1388 1735 2082 2083 2776 3123 3470 4164 4166 5205 5552 6246 6249 6940 8328 8332 10410 10415 12492 12498 13880 15615 16656 16664 18747 20820 20830 24984 24996 27760 31230 31245 33328 37494 41640 41660 49968 49992 62460 62490 74988 83280 83320 93735 99984 124920 124980 149976 166640 187470 249840 249960 299952 374940 499920 722801 749880 1445602 1499760 2168403 2891204 3614005 4336806 5782408 6505209 7228010 8673612 10842015 11564816 13010418 14456020 17347224 21684030 26020836 28912040 32526045 34694448 43368060 52041672 57824080 65052090 86736120 104083344 130104180 173472240 260208360 520416720