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81092900 = 225273137101
BaseRepresentation
bin1001101010101…
…10000100100100
312122120221112202
410311112010210
5131224433100
612014034032
72003164310
oct465260444
9178527482
1081092900
1141858329
12231a8918
1313a53985
14aaacb40
1571bc7d5
hex4d56124

81092900 has 144 divisors (see below), whose sum is σ = 215319552. Its totient is φ = 25920000.

The previous prime is 81092899. The next prime is 81092933. The reversal of 81092900 is 929018.

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 47 ways as a sum of consecutive naturals, for example, 802850 + ... + 802950.

Almost surely, 281092900 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 81092900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107659776).

81092900 is an abundant number, since it is smaller than the sum of its proper divisors (134226652).

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

81092900 is a wasteful number, since it uses less digits than its factorization.

81092900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 81092900 is about 9005.1596321220. The cubic root of 81092900 is about 432.8402214560.

The spelling of 81092900 in words is "eighty-one million, ninety-two thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 37 50 62 70 74 100 101 124 140 148 155 175 185 202 217 259 310 350 370 404 434 505 518 620 700 707 740 775 868 925 1010 1036 1085 1147 1295 1414 1550 1850 2020 2170 2294 2525 2590 2828 3100 3131 3535 3700 3737 4340 4588 5050 5180 5425 5735 6262 6475 7070 7474 8029 10100 10850 11470 12524 12950 14140 14948 15655 16058 17675 18685 21700 21917 22940 25900 26159 28675 31310 32116 35350 37370 40145 43834 52318 57350 62620 70700 74740 78275 80290 87668 93425 104636 109585 114700 115847 130795 156550 160580 186850 200725 219170 231694 261590 313100 373700 401450 438340 463388 523180 547925 579235 653975 802900 810929 1095850 1158470 1307950 1621858 2191700 2316940 2615900 2896175 3243716 4054645 5792350 8109290 11584700 16218580 20273225 40546450 81092900