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89021280 = 2535191971
BaseRepresentation
bin1010100111001…
…01101101100000
320012111202020110
411103211231200
5140242140110
612500011320
72130445155
oct523455540
9205452213
1089021280
1146283007
1225990b40
131559b61a
14bb7422c
157c36a20
hex54e5b60

89021280 has 96 divisors (see below), whose sum is σ = 282175488. Its totient is φ = 23590400.

The previous prime is 89021249. The next prime is 89021321. The reversal of 89021280 is 8212098.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 91195 + ... + 92165.

It is an arithmetic number, because the mean of its divisors is an integer number (2939328).

Almost surely, 289021280 is an apocalyptic number.

89021280 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 89021280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141087744).

89021280 is an abundant number, since it is smaller than the sum of its proper divisors (193154208).

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

89021280 is a wasteful number, since it uses less digits than its factorization.

89021280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 89021280 is about 9435.1089023922. The cubic root of 89021280 is about 446.5100909084.

The spelling of 89021280 in words is "eighty-nine million, twenty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 191 240 382 480 573 764 955 971 1146 1528 1910 1942 2292 2865 2913 3056 3820 3884 4584 4855 5730 5826 6112 7640 7768 9168 9710 11460 11652 14565 15280 15536 18336 19420 22920 23304 29130 30560 31072 38840 45840 46608 58260 77680 91680 93216 116520 155360 185461 233040 370922 466080 556383 741844 927305 1112766 1483688 1854610 2225532 2781915 2967376 3709220 4451064 5563830 5934752 7418440 8902128 11127660 14836880 17804256 22255320 29673760 44510640 89021280