Search a number
-
+
89300080 = 2451318521
BaseRepresentation
bin1010101001010…
…01110001110000
320020000220200101
411110221301300
5140330100310
612510002144
72133016042
oct524516160
9206026611
1089300080
1146453521
1225aa6354
13156684ac
14bc07a92
157c8e43a
hex5529c70

89300080 has 40 divisors (see below), whose sum is σ = 209232144. Its totient is φ = 35443200.

The previous prime is 89300069. The next prime is 89300087. The reversal of 89300080 is 8000398.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89300087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6220 + ... + 14740.

Almost surely, 289300080 is an apocalyptic number.

89300080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89300080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104616072).

89300080 is an abundant number, since it is smaller than the sum of its proper divisors (119932064).

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

89300080 is a wasteful number, since it uses less digits than its factorization.

89300080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8665 (or 8659 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 89300080 is about 9449.8719568045. The cubic root of 89300080 is about 446.9757371800.

The spelling of 89300080 in words is "eighty-nine million, three hundred thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 2096 2620 5240 8521 10480 17042 34084 42605 68168 85210 136336 170420 340840 681680 1116251 2232502 4465004 5581255 8930008 11162510 17860016 22325020 44650040 89300080