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53134100 = 2252719739
BaseRepresentation
bin1100101010110…
…0001100010100
310200222111021122
43022230030110
5102100242400
65134503112
71213426625
oct312541424
9120874248
1053134100
1127aa1488
1215964a98
13b014ac6
1470b1a4c
1549e8685
hex32ac314

53134100 has 36 divisors (see below), whose sum is σ = 115617600. Its totient is φ = 21195360.

The previous prime is 53134097. The next prime is 53134139. The reversal of 53134100 is 143135.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71531 + ... + 72269.

It is an arithmetic number, because the mean of its divisors is an integer number (3211600).

Almost surely, 253134100 is an apocalyptic number.

53134100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53134100 is an abundant number, since it is smaller than the sum of its proper divisors (62483500).

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

53134100 is a wasteful number, since it uses less digits than its factorization.

53134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 53134100 is about 7289.3140966760. The cubic root of 53134100 is about 375.9451123290.

Adding to 53134100 its reverse (143135), we get a palindrome (53277235).

It can be divided in two parts, 5313 and 4100, that multiplied together give a triangular number (21783300 = T6600).

The spelling of 53134100 in words is "fifty-three million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 719 739 1438 1478 2876 2956 3595 3695 7190 7390 14380 14780 17975 18475 35950 36950 71900 73900 531341 1062682 2125364 2656705 5313410 10626820 13283525 26567050 53134100