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84189120 = 263587697
BaseRepresentation
bin1010000010010…
…01111111000000
312212102020202120
411001021333000
5133023022440
612204244240
72041411221
oct501117700
9185366676
1084189120
1143582594
1224240680
1314599062
14b277248
1575cedd0
hex5049fc0

84189120 has 56 divisors (see below), whose sum is σ = 267303504. Its totient is φ = 22450176.

The previous prime is 84189107. The next prime is 84189121. The reversal of 84189120 is 2198148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84189121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 42889 + ... + 44808.

Almost surely, 284189120 is an apocalyptic number.

84189120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84189120 is an abundant number, since it is smaller than the sum of its proper divisors (183114384).

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

84189120 is a wasteful number, since it uses less digits than its factorization.

84189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87717 (or 87707 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 84189120 is about 9175.4629311005. The cubic root of 84189120 is about 438.2803401200.

The spelling of 84189120 in words is "eighty-four million, one hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 87697 175394 263091 350788 438485 526182 701576 876970 1052364 1315455 1403152 1753940 2104728 2630910 2806304 3507880 4209456 5261820 5612608 7015760 8418912 10523640 14031520 16837824 21047280 28063040 42094560 84189120