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89769120 = 2535726717
BaseRepresentation
bin1010101100111…
…00010010100000
320020220202002020
411112130102200
5140440102440
612524021440
72140011360
oct526342240
9206822066
1089769120
1146743961
1226091880
13157a0b2c
14bcca9a0
157d333d0
hex559c4a0

89769120 has 96 divisors (see below), whose sum is σ = 323180928. Its totient is φ = 20517888.

The previous prime is 89769109. The next prime is 89769133. The reversal of 89769120 is 2196798.

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 (42).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9999 + ... + 16718.

It is an arithmetic number, because the mean of its divisors is an integer number (3366468).

Almost surely, 289769120 is an apocalyptic number.

89769120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89769120 is an abundant number, since it is smaller than the sum of its proper divisors (233411808).

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

89769120 is a wasteful number, since it uses less digits than its factorization.

89769120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26742 (or 26734 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 89769120 is about 9474.6567220137. The cubic root of 89769120 is about 447.7569366016.

The spelling of 89769120 in words is "eighty-nine million, seven hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 26717 53434 80151 106868 133585 160302 187019 213736 267170 320604 374038 400755 427472 534340 561057 641208 748076 801510 854944 935095 1068680 1122114 1282416 1496152 1603020 1870190 2137360 2244228 2564832 2805285 2992304 3206040 3740380 4274720 4488456 5610570 5984608 6412080 7480760 8976912 11221140 12824160 14961520 17953824 22442280 29923040 44884560 89769120