Search a number
-
+
81534300 = 22352463587
BaseRepresentation
bin1001101110000…
…01110101011100
312200102101000220
410313001311130
5131333044200
612031321340
72010013221
oct467016534
9180371026
1081534300
1142029a21
1223380250
1313b79863
14ab85948
1572584a0
hex4dc1d5c

81534300 has 72 divisors (see below), whose sum is σ = 236818176. Its totient is φ = 21658560.

The previous prime is 81534259. The next prime is 81534307. The reversal of 81534300 is 343518.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81534307) 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, 138607 + ... + 139193.

Almost surely, 281534300 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 81534300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118409088).

81534300 is an abundant number, since it is smaller than the sum of its proper divisors (155283876).

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

81534300 is a wasteful number, since it uses less digits than its factorization.

81534300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 81534300 is about 9029.6345440998. The cubic root of 81534300 is about 433.6241374775.

Adding to 81534300 its reverse (343518), we get a palindrome (81877818).

The spelling of 81534300 in words is "eighty-one million, five hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 463 587 926 1174 1389 1761 1852 2315 2348 2778 2935 3522 4630 5556 5870 6945 7044 8805 9260 11575 11740 13890 14675 17610 23150 27780 29350 34725 35220 44025 46300 58700 69450 88050 138900 176100 271781 543562 815343 1087124 1358905 1630686 2717810 3261372 4076715 5435620 6794525 8153430 13589050 16306860 20383575 27178100 40767150 81534300