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53100320 = 2557213521
BaseRepresentation
bin1100101010001…
…1111100100000
310200220202221112
43022203330200
5102043202240
65134042452
71213226300
oct312437440
9120822845
1053100320
1127a79069
1215949428
13b002610
1470a3600
1549dd665
hex32a3f20

53100320 has 144 divisors (see below), whose sum is σ = 157458168. Its totient is φ = 16773120.

The previous prime is 53100319. The next prime is 53100323. The reversal of 53100320 is 2300135.

It can be written as a sum of positive squares in 4 ways, for example, as 27415696 + 25684624 = 5236^2 + 5068^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 53100295 and 53100304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53100323) 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, 101660 + ... + 102180.

Almost surely, 253100320 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 53100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78729084).

53100320 is an abundant number, since it is smaller than the sum of its proper divisors (104357848).

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

53100320 is a wasteful number, since it uses less digits than its factorization.

53100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 53100320 is about 7286.9966378474. The cubic root of 53100320 is about 375.8654264144.

Adding to 53100320 its reverse (2300135), we get a palindrome (55400455).

The spelling of 53100320 in words is "fifty-three million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 49 52 56 65 70 80 91 98 104 112 130 140 160 182 196 208 224 245 260 280 364 392 416 455 490 520 521 560 637 728 784 910 980 1040 1042 1120 1274 1456 1568 1820 1960 2080 2084 2548 2605 2912 3185 3640 3647 3920 4168 5096 5210 6370 6773 7280 7294 7840 8336 10192 10420 12740 13546 14560 14588 16672 18235 20384 20840 25480 25529 27092 29176 33865 36470 41680 47411 50960 51058 54184 58352 67730 72940 83360 94822 101920 102116 108368 116704 127645 135460 145880 189644 204232 216736 237055 255290 270920 291760 331877 379288 408464 474110 510580 541840 583520 663754 758576 816928 948220 1021160 1083680 1327508 1517152 1659385 1896440 2042320 2655016 3318770 3792880 4084640 5310032 6637540 7585760 10620064 13275080 26550160 53100320