Search a number
-
+
81535900 = 22527910321
BaseRepresentation
bin1001101110000…
…10001110011100
312200102110020011
410313002032130
5131333122100
612031333004
72010020665
oct467021634
9180373204
1081535900
1142030146
1223381164
1313b7a4c4
14ab8636c
157258bba
hex4dc239c

81535900 has 36 divisors (see below), whose sum is σ = 179189920. Its totient is φ = 32198400.

The previous prime is 81535879. The next prime is 81535931. The reversal of 81535900 is 953518.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2740 + ... + 13060.

Almost surely, 281535900 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 81535900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89594960).

81535900 is an abundant number, since it is smaller than the sum of its proper divisors (97654020).

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

81535900 is a wasteful number, since it uses less digits than its factorization.

81535900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10414 (or 10407 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 81535900 is about 9029.7231408277. The cubic root of 81535900 is about 433.6269738874.

The spelling of 81535900 in words is "eighty-one million, five hundred thirty-five thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 790 1580 1975 3950 7900 10321 20642 41284 51605 103210 206420 258025 516050 815359 1032100 1630718 3261436 4076795 8153590 16307180 20383975 40767950 81535900