Search a number
-
+
89099440 = 2454359439
BaseRepresentation
bin1010100111110…
…00110010110000
320012122201110021
411103320302300
5140302140230
612501413224
72131222063
oct523706260
9205581407
1089099440
1146326801
1225a0a214
13155c8081
14bb948da
157c4ec7a
hex54f8cb0

89099440 has 80 divisors (see below), whose sum is σ = 216057600. Its totient is φ = 34142976.

The previous prime is 89099419. The next prime is 89099443. The reversal of 89099440 is 4499098.

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

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (89099443) 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, 202741 + ... + 203179.

It is an arithmetic number, because the mean of its divisors is an integer number (2700720).

Almost surely, 289099440 is an apocalyptic number.

89099440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

89099440 is the 4720-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89099440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108028800).

89099440 is an abundant number, since it is smaller than the sum of its proper divisors (126958160).

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

89099440 is a wasteful number, since it uses less digits than its factorization.

89099440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 89099440 is about 9439.2499702042. The cubic root of 89099440 is about 446.6407301590.

The spelling of 89099440 in words is "eighty-nine million, ninety-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 59 80 86 118 172 215 236 295 344 430 439 472 590 688 860 878 944 1180 1720 1756 2195 2360 2537 3440 3512 4390 4720 5074 7024 8780 10148 12685 17560 18877 20296 25370 25901 35120 37754 40592 50740 51802 75508 94385 101480 103604 129505 151016 188770 202960 207208 259010 302032 377540 414416 518020 755080 1036040 1113743 1510160 2072080 2227486 4454972 5568715 8909944 11137430 17819888 22274860 44549720 89099440