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520427520 = 2113255647
BaseRepresentation
bin11111000001010…
…001100000000000
31100021021110100100
4133001101200000
52031212140040
6123350322400
715616363254
oct3701214000
91307243310
10520427520
11247849998
12126359400
1383a87ca2
144d192264
1530a50b30
hex1f051800

520427520 has 144 divisors (see below), whose sum is σ = 1804027680. Its totient is φ = 138756096.

The previous prime is 520427507. The next prime is 520427521. The reversal of 520427520 is 25724025.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520427521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89337 + ... + 94983.

It is an arithmetic number, because the mean of its divisors is an integer number (12527970).

Almost surely, 2520427520 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 520427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902013840).

520427520 is an abundant number, since it is smaller than the sum of its proper divisors (1283600160).

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

520427520 is a wasteful number, since it uses less digits than its factorization.

520427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5680 (or 5657 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 520427520 is about 22812.8805721680. The cubic root of 520427520 is about 804.3654683606.

The spelling of 520427520 in words is "five hundred twenty million, four hundred twenty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5647 5760 6144 7680 9216 10240 11294 11520 15360 16941 18432 22588 23040 28235 30720 33882 45176 46080 50823 56470 67764 84705 90352 92160 101646 112940 135528 169410 180704 203292 225880 254115 271056 338820 361408 406584 451760 508230 542112 677640 722816 813168 903520 1016460 1084224 1355280 1445632 1626336 1807040 2032920 2168448 2710560 2891264 3252672 3614080 4065840 4336896 5421120 5782528 6505344 7228160 8131680 8673792 10842240 11565056 13010688 14456320 16263360 17347584 21684480 26021376 28912640 32526720 34695168 43368960 52042752 57825280 65053440 86737920 104085504 130106880 173475840 260213760 520427520