Search a number
-
+
89084080 = 24517312113
BaseRepresentation
bin1010100111101…
…01000010110000
320012121221101101
411103311002300
5140301142310
612501214144
72131126231
oct523650260
9205557341
1089084080
1146316208
1225a01354
13155c1097
14bb8d088
157c4a43a
hex54f50b0

89084080 has 80 divisors (see below), whose sum is σ = 226485504. Its totient is φ = 32440320.

The previous prime is 89084059. The next prime is 89084137. The reversal of 89084080 is 8048098.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41104 + ... + 43216.

Almost surely, 289084080 is an apocalyptic number.

89084080 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 89084080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113242752).

89084080 is an abundant number, since it is smaller than the sum of its proper divisors (137401424).

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

89084080 is a wasteful number, since it uses less digits than its factorization.

89084080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 89084080 is about 9438.4363111693. The cubic root of 89084080 is about 446.6150629724.

The spelling of 89084080 in words is "eighty-nine million, eighty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 272 310 340 496 527 620 680 1054 1240 1360 2108 2113 2480 2635 4216 4226 5270 8432 8452 10540 10565 16904 21080 21130 33808 35921 42160 42260 65503 71842 84520 131006 143684 169040 179605 262012 287368 327515 359210 524024 574736 655030 718420 1048048 1113551 1310060 1436840 2227102 2620120 2873680 4454204 5240240 5567755 8908408 11135510 17816816 22271020 44542040 89084080