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53130090 = 23513592309
BaseRepresentation
bin1100101010101…
…1001101101010
310200222021210010
43022223031222
5102100130330
65134432350
71213412136
oct312531552
9120867703
1053130090
1127a99472
12159626b6
13b013030
1470b03c6
1549e73b0
hex32ab36a

53130090 has 64 divisors (see below), whose sum is σ = 139708800. Its totient is φ = 12850944.

The previous prime is 53130089. The next prime is 53130131. The reversal of 53130090 is 9003135.

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, 21856 + ... + 24164.

It is an arithmetic number, because the mean of its divisors is an integer number (2182950).

Almost surely, 253130090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53130090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69854400).

53130090 is an abundant number, since it is smaller than the sum of its proper divisors (86578710).

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

53130090 is a wasteful number, since it uses less digits than its factorization.

53130090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391.

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 53130090 is about 7289.0390313127. The cubic root of 53130090 is about 375.9356546372.

The spelling of 53130090 in words is "fifty-three million, one hundred thirty thousand, ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 59 65 78 118 130 177 195 295 354 390 590 767 885 1534 1770 2301 2309 3835 4602 4618 6927 7670 11505 11545 13854 23010 23090 30017 34635 60034 69270 90051 136231 150085 180102 272462 300170 408693 450255 681155 817386 900510 1362310 1771003 2043465 3542006 4086930 5313009 8855015 10626018 17710030 26565045 53130090