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89869320 = 233251911307
BaseRepresentation
bin1010101101101…
…00110000001000
320021002211112100
411112310300020
5141001304240
612530113400
72140606452
oct526646010
9207084470
1089869320
1146802172
122611b860
1315807618
14bd152d2
157d52e30
hex55b4c08

89869320 has 96 divisors (see below), whose sum is σ = 293829120. Its totient is φ = 23821440.

The previous prime is 89869309. The next prime is 89869321. The reversal of 89869320 is 2396898.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (89869321) 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 23 ways as a sum of consecutive naturals, for example, 68107 + ... + 69413.

It is an arithmetic number, because the mean of its divisors is an integer number (3060720).

Almost surely, 289869320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89869320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146914560).

89869320 is an abundant number, since it is smaller than the sum of its proper divisors (203959800).

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

89869320 is a wasteful number, since it uses less digits than its factorization.

89869320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 89869320 is about 9479.9430378036. The cubic root of 89869320 is about 447.9234696016.

The spelling of 89869320 in words is "eighty-nine million, eight hundred sixty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 191 360 382 573 764 955 1146 1307 1528 1719 1910 2292 2614 2865 3438 3820 3921 4584 5228 5730 6535 6876 7640 7842 8595 10456 11460 11763 13070 13752 15684 17190 19605 22920 23526 26140 31368 34380 39210 47052 52280 58815 68760 78420 94104 117630 156840 235260 249637 470520 499274 748911 998548 1248185 1497822 1997096 2246733 2496370 2995644 3744555 4493466 4992740 5991288 7489110 8986932 9985480 11233665 14978220 17973864 22467330 29956440 44934660 89869320