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81429560 = 2353197677
BaseRepresentation
bin1001101101010…
…00010000111000
312200020001100122
410312220100320
5131321221220
612025152412
72006065652
oct466502070
9180201318
1081429560
1141a68263
122332b708
1313b40c94
14ab596d2
157237425
hex4da8438

81429560 has 64 divisors (see below), whose sum is σ = 191358720. Its totient is φ = 31150080.

The previous prime is 81429559. The next prime is 81429581. The reversal of 81429560 is 6592418.

It is a self number, because there is not a number n which added to its sum of digits gives 81429560.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 119942 + ... + 120618.

It is an arithmetic number, because the mean of its divisors is an integer number (2989980).

Almost surely, 281429560 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 81429560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95679360).

81429560 is an abundant number, since it is smaller than the sum of its proper divisors (109929160).

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

81429560 is a wasteful number, since it uses less digits than its factorization.

81429560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 81429560 is about 9023.8328885236. The cubic root of 81429560 is about 433.4383782157.

The spelling of 81429560 in words is "eighty-one million, four hundred twenty-nine thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 97 124 155 194 248 310 388 485 620 677 776 970 1240 1354 1940 2708 3007 3385 3880 5416 6014 6770 12028 13540 15035 20987 24056 27080 30070 41974 60140 65669 83948 104935 120280 131338 167896 209870 262676 328345 419740 525352 656690 839480 1313380 2035739 2626760 4071478 8142956 10178695 16285912 20357390 40714780 81429560