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53132300 = 225213231777
BaseRepresentation
bin1100101010101…
…1110000001100
310200222101210222
43022223300030
5102100213200
65134450512
71213421444
oct312536014
9120871728
1053132300
1127aa00a1
1215963a38
13b014040
1470b1124
1549e7d85
hex32abc0c

53132300 has 72 divisors (see below), whose sum is σ = 129637536. Its totient is φ = 18754560.

The previous prime is 53132257. The next prime is 53132347. The reversal of 53132300 is 323135.

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, 29012 + ... + 30788.

Almost surely, 253132300 is an apocalyptic number.

53132300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64818768).

53132300 is an abundant number, since it is smaller than the sum of its proper divisors (76505236).

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

53132300 is a wasteful number, since it uses less digits than its factorization.

53132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 53132300 is about 7289.1906272233. The cubic root of 53132300 is about 375.9408670400.

Adding to 53132300 its reverse (323135), we get a palindrome (53455435).

The spelling of 53132300 in words is "fifty-three million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 460 575 598 650 1150 1196 1300 1495 1777 2300 2990 3554 5980 7108 7475 8885 14950 17770 23101 29900 35540 40871 44425 46202 81742 88850 92404 115505 163484 177700 204355 231010 408710 462020 531323 577525 817420 1021775 1062646 1155050 2043550 2125292 2310100 2656615 4087100 5313230 10626460 13283075 26566150 53132300