Search a number
-
+
81029300 = 225211193877
BaseRepresentation
bin1001101010001…
…10100010110100
312122110201022012
410311012202310
5131220414200
612012423352
72002511012
oct465064264
9178421265
1081029300
1141814570
1223177b58
1313a30a41
14aa938b2
1571a8a35
hex4d468b4

81029300 has 72 divisors (see below), whose sum is σ = 201966240. Its totient is φ = 27907200.

The previous prime is 81029287. The next prime is 81029309. The reversal of 81029300 is 392018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81029309) 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, 18962 + ... + 22838.

Almost surely, 281029300 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 81029300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100983120).

81029300 is an abundant number, since it is smaller than the sum of its proper divisors (120936940).

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

81029300 is a wasteful number, since it uses less digits than its factorization.

81029300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3921 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 81029300 is about 9001.6276306010. The cubic root of 81029300 is about 432.7270350652.

The spelling of 81029300 in words is "eighty-one million, twenty-nine thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 3877 4180 5225 7754 10450 15508 19385 20900 38770 42647 73663 77540 85294 96925 147326 170588 193850 213235 294652 368315 387700 426470 736630 810293 852940 1066175 1473260 1620586 1841575 2132350 3241172 3683150 4051465 4264700 7366300 8102930 16205860 20257325 40514650 81029300