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84269360 = 2457295189
BaseRepresentation
bin1010000010111…
…01100100110000
312212120022211102
411001131210300
5133033104420
612210103532
72042164160
oct501354460
9185508742
1084269360
11436278aa
122427aba8
13145c6736
14b2985a0
1575e8a75
hex505d930

84269360 has 80 divisors (see below), whose sum is σ = 231681600. Its totient is φ = 27890688.

The previous prime is 84269359. The next prime is 84269443. The reversal of 84269360 is 6396248.

It is a tau number, because it is divible by the number of its divisors (80).

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, 13646 + ... + 18834.

It is an arithmetic number, because the mean of its divisors is an integer number (2896020).

Almost surely, 284269360 is an apocalyptic number.

84269360 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 84269360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115840800).

84269360 is an abundant number, since it is smaller than the sum of its proper divisors (147412240).

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

84269360 is a wasteful number, since it uses less digits than its factorization.

84269360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5238 (or 5232 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 84269360 is about 9179.8344211647. The cubic root of 84269360 is about 438.4195364427.

The spelling of 84269360 in words is "eighty-four million, two hundred sixty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1624 2030 2320 3248 4060 5189 8120 10378 16240 20756 25945 36323 41512 51890 72646 83024 103780 145292 150481 181615 207560 290584 300962 363230 415120 581168 601924 726460 752405 1053367 1203848 1452920 1504810 2106734 2407696 2905840 3009620 4213468 5266835 6019240 8426936 10533670 12038480 16853872 21067340 42134680 84269360