Search a number
-
+
81701568 = 2633133637
BaseRepresentation
bin1001101111010…
…10101011000000
312200201212111000
410313222223000
5131403422233
612035052000
72011310664
oct467525300
9180655430
1081701568
1142133663
1223441000
1313c07a30
14abca8a4
15728cd13
hex4deaac0

81701568 has 112 divisors (see below), whose sum is σ = 258734560. Its totient is φ = 25132032.

The previous prime is 81701551. The next prime is 81701569. The reversal of 81701568 is 86510718.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81701569) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20646 + ... + 24282.

It is an arithmetic number, because the mean of its divisors is an integer number (2310130).

Almost surely, 281701568 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 81701568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129367280).

81701568 is an abundant number, since it is smaller than the sum of its proper divisors (177032992).

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

81701568 is a wasteful number, since it uses less digits than its factorization.

81701568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 81701568 is about 9038.8919674925. The cubic root of 81701568 is about 433.9204622518.

The spelling of 81701568 in words is "eighty-one million, seven hundred one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3637 3744 5616 7274 7488 10911 11232 14548 21822 22464 29096 32733 43644 47281 58192 65466 87288 94562 98199 116384 130932 141843 174576 189124 196398 232768 261864 283686 349152 378248 392796 425529 523728 567372 698304 756496 785592 851058 1047456 1134744 1276587 1512992 1571184 1702116 2094912 2269488 2553174 3025984 3142368 3404232 4538976 5106348 6284736 6808464 9077952 10212696 13616928 20425392 27233856 40850784 81701568