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89072320 = 265377523
BaseRepresentation
bin1010100111100…
…10001011000000
320012121100020211
411103302023000
5140300303240
612501043504
72131050031
oct523621300
9205540224
1089072320
1146308397
12259b6594
13155b891c
14bb88a88
157c46bea
hex54f22c0

89072320 has 56 divisors (see below), whose sum is σ = 217864944. Its totient is φ = 34661376.

The previous prime is 89072317. The next prime is 89072327. The reversal of 89072320 is 2327098.

It is not an unprimeable number, because it can be changed into a prime (89072327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8079 + ... + 15601.

Almost surely, 289072320 is an apocalyptic number.

89072320 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 89072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108932472).

89072320 is an abundant number, since it is smaller than the sum of its proper divisors (128792624).

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

89072320 is a wasteful number, since it uses less digits than its factorization.

89072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7577 (or 7567 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 89072320 is about 9437.8133060577. The cubic root of 89072320 is about 446.5954095383.

The spelling of 89072320 in words is "eighty-nine million, seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 740 1184 1480 2368 2960 5920 7523 11840 15046 30092 37615 60184 75230 120368 150460 240736 278351 300920 481472 556702 601840 1113404 1203680 1391755 2226808 2407360 2783510 4453616 5567020 8907232 11134040 17814464 22268080 44536160 89072320