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53080320 = 283523601
BaseRepresentation
bin1100101001111…
…1000100000000
310200212202111210
43022133010000
5102042032240
65133410120
71213114056
oct312370400
9120782453
1053080320
1127a65037
1215939940
13acc6497
14709a1d6
1549d7780
hex329f100

53080320 has 144 divisors (see below), whose sum is σ = 177190272. Its totient is φ = 13516800.

The previous prime is 53080289. The next prime is 53080327. The reversal of 53080320 is 2308035.

It is not an unprimeable number, because it can be changed into a prime (53080327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88020 + ... + 88620.

It is an arithmetic number, because the mean of its divisors is an integer number (1230488).

Almost surely, 253080320 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 53080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88595136).

53080320 is an abundant number, since it is smaller than the sum of its proper divisors (124109952).

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

53080320 is a wasteful number, since it uses less digits than its factorization.

53080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 53080320 is about 7285.6242011237. The cubic root of 53080320 is about 375.8182311401.

Adding to 53080320 its reverse (2308035), we get a palindrome (55388355).

The spelling of 53080320 in words is "fifty-three million, eighty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 552 601 640 690 736 768 920 960 1104 1202 1280 1380 1472 1803 1840 1920 2208 2404 2760 2944 3005 3606 3680 3840 4416 4808 5520 5888 6010 7212 7360 8832 9015 9616 11040 12020 13823 14424 14720 17664 18030 19232 22080 24040 27646 28848 29440 36060 38464 41469 44160 48080 55292 57696 69115 72120 76928 82938 88320 96160 110584 115392 138230 144240 153856 165876 192320 207345 221168 230784 276460 288480 331752 384640 414690 442336 461568 552920 576960 663504 769280 829380 884672 1105840 1153920 1327008 1658760 1769344 2211680 2307840 2654016 3317520 3538688 4423360 5308032 6635040 8846720 10616064 13270080 17693440 26540160 53080320