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89380000 = 255441109
BaseRepresentation
bin1010101001111…
…01010010100000
320020011222022101
411110331102200
5140340130000
612511420144
72133501043
oct524752240
9206158271
1089380000
11464a8576
1225b24654
1315695998
14bc28c5a
157ca7e6a
hex553d4a0

89380000 has 120 divisors (see below), whose sum is σ = 227317860. Its totient is φ = 34560000.

The previous prime is 89379991. The next prime is 89380003. The reversal of 89380000 is 8398.

It can be written as a sum of positive squares in 10 ways, for example, as 17943696 + 71436304 = 4236^2 + 8452^2 .

It is not an unprimeable number, because it can be changed into a prime (89380003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 819946 + ... + 820054.

Almost surely, 289380000 is an apocalyptic number.

89380000 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 89380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113658930).

89380000 is an abundant number, since it is smaller than the sum of its proper divisors (137937860).

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

89380000 is a wasteful number, since it uses less digits than its factorization.

89380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 157 counting only the distinct ones).

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

The square root of 89380000 is about 9454.0996398388. The cubic root of 89380000 is about 447.1090392238.

Adding to 89380000 its reverse (8398), we get a palindrome (89388398).

The spelling of 89380000 in words is "eighty-nine million, three hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 109 125 160 164 200 205 218 250 328 400 410 436 500 545 625 656 800 820 872 1000 1025 1090 1250 1312 1640 1744 2000 2050 2180 2500 2725 3280 3488 4000 4100 4360 4469 5000 5125 5450 6560 8200 8720 8938 10000 10250 10900 13625 16400 17440 17876 20000 20500 21800 22345 25625 27250 32800 35752 41000 43600 44690 51250 54500 68125 71504 82000 87200 89380 102500 109000 111725 136250 143008 164000 178760 205000 218000 223450 272500 357520 410000 436000 446900 545000 558625 715040 820000 893800 1090000 1117250 1787600 2180000 2234500 2793125 3575200 4469000 5586250 8938000 11172500 17876000 22345000 44690000 89380000