Search a number
-
+
89728080 = 24351328759
BaseRepresentation
bin1010101100100…
…10010001010000
320020211122210020
411112102101100
5140432244310
612523103440
72136450621
oct526222120
9206748706
1089728080
1146716042
1226071b80
1315788250
14bcb9a48
157d26170
hex5592450

89728080 has 80 divisors (see below), whose sum is σ = 299564160. Its totient is φ = 22086144.

The previous prime is 89728073. The next prime is 89728087. The reversal of 89728080 is 8082798.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89728073) and next prime (89728087).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×897280802 = 16102256680972800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89728087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11260 + ... + 17499.

It is an arithmetic number, because the mean of its divisors is an integer number (3744552).

Almost surely, 289728080 is an apocalyptic number.

89728080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89728080 is an abundant number, since it is smaller than the sum of its proper divisors (209836080).

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

89728080 is a wasteful number, since it uses less digits than its factorization.

89728080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28788 (or 28782 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 89728080 is about 9472.4906967492. The cubic root of 89728080 is about 447.6886921032.

The spelling of 89728080 in words is "eighty-nine million, seven hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 28759 57518 86277 115036 143795 172554 230072 287590 345108 373867 431385 460144 575180 690216 747734 862770 1121601 1150360 1380432 1495468 1725540 1869335 2243202 2300720 2990936 3451080 3738670 4486404 5608005 5981872 6902160 7477340 8972808 11216010 14954680 17945616 22432020 29909360 44864040 89728080