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53120760 = 23357115749
BaseRepresentation
bin1100101010100…
…0111011111000
310200221210222120
43022220323320
5102044331020
65134321240
71213343010
oct312507370
9120853876
1053120760
1127a92460
1215959220
13b00ba04
1470aac40
1549e4740
hex32a8ef8

53120760 has 128 divisors (see below), whose sum is σ = 198720000. Its totient is φ = 11036160.

The previous prime is 53120759. The next prime is 53120803. The reversal of 53120760 is 6702135.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 53120760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6366 + ... + 12114.

It is an arithmetic number, because the mean of its divisors is an integer number (1552500).

Almost surely, 253120760 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 53120760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99360000).

53120760 is an abundant number, since it is smaller than the sum of its proper divisors (145599240).

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

53120760 is a wasteful number, since it uses less digits than its factorization.

53120760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5781 (or 5777 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 53120760 is about 7288.3990011524. The cubic root of 53120760 is about 375.9136477419.

Adding to 53120760 its reverse (6702135), we get a palindrome (59822895).

The spelling of 53120760 in words is "fifty-three million, one hundred twenty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 5749 9240 11498 17247 22996 28745 34494 40243 45992 57490 63239 68988 80486 86235 114980 120729 126478 137976 160972 172470 189717 201215 229960 241458 252956 316195 321944 344940 379434 402430 442673 482916 505912 603645 632390 689880 758868 804860 885346 948585 965832 1207290 1264780 1328019 1517736 1609720 1770692 1897170 2213365 2414580 2529560 2656038 3541384 3794340 4426730 4829160 5312076 6640095 7588680 8853460 10624152 13280190 17706920 26560380 53120760