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89445720 = 23357138191
BaseRepresentation
bin1010101010011…
…01010101011000
320020022022110110
411111031111120
5140344230340
612513044320
72134163460
oct525152530
9206268413
1089445720
1146542991
1225b566a0
13156b9880
14bc44ba0
157cbc680
hex554d558

89445720 has 128 divisors (see below), whose sum is σ = 330301440. Its totient is φ = 18869760.

The previous prime is 89445679. The next prime is 89445731. The reversal of 89445720 is 2754498.

89445720 = T307 + T308 + ... + T826.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 6825 + ... + 15015.

It is an arithmetic number, because the mean of its divisors is an integer number (2580480).

Almost surely, 289445720 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 89445720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165150720).

89445720 is an abundant number, since it is smaller than the sum of its proper divisors (240855720).

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

89445720 is a wasteful number, since it uses less digits than its factorization.

89445720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8225 (or 8221 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 89445720 is about 9457.5747419727. The cubic root of 89445720 is about 447.2185969440.

The spelling of 89445720 in words is "eighty-nine million, four hundred forty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 8191 10920 16382 24573 32764 40955 49146 57337 65528 81910 98292 106483 114674 122865 163820 172011 196584 212966 229348 245730 286685 319449 327640 344022 425932 458696 491460 532415 573370 638898 688044 745381 851864 860055 982920 1064830 1146740 1277796 1376088 1490762 1597245 1720110 2129660 2236143 2293480 2555592 2981524 3194490 3440220 3726905 4259320 4472286 5963048 6388980 6880440 7453810 8944572 11180715 12777960 14907620 17889144 22361430 29815240 44722860 89445720