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89213320 = 23572231979
BaseRepresentation
bin1010101000101…
…00100110001000
320012212111200001
411110110212020
5140314311240
612504052344
72132205100
oct524244610
9205774601
1089213320
11463a4319
1225a640b4
1315637b61
14bbc4200
157c7389a
hex5514988

89213320 has 96 divisors (see below), whose sum is σ = 243777600. Its totient is φ = 29242752.

The previous prime is 89213317. The next prime is 89213321. The reversal of 89213320 is 2331298.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (89213321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44091 + ... + 46069.

It is an arithmetic number, because the mean of its divisors is an integer number (2539350).

Almost surely, 289213320 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 89213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121888800).

89213320 is an abundant number, since it is smaller than the sum of its proper divisors (154564280).

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

89213320 is a wasteful number, since it uses less digits than its factorization.

89213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 89213320 is about 9445.2803028814. The cubic root of 89213320 is about 446.8309363370.

The spelling of 89213320 in words is "eighty-nine million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 49 56 70 92 98 115 140 161 184 196 230 245 280 322 392 460 490 644 805 920 980 1127 1288 1610 1960 1979 2254 3220 3958 4508 5635 6440 7916 9016 9895 11270 13853 15832 19790 22540 27706 39580 45080 45517 55412 69265 79160 91034 96971 110824 138530 182068 193942 227585 277060 318619 364136 387884 455170 484855 554120 637238 775768 910340 969710 1274476 1593095 1820680 1939420 2230333 2548952 3186190 3878840 4460666 6372380 8921332 11151665 12744760 17842664 22303330 44606660 89213320