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84189680 = 2451576703
BaseRepresentation
bin1010000010010…
…10000111110000
312212102021112022
411001022013300
5133023032210
612204251012
72041412651
oct501120760
9185367468
1084189680
1143582a53
1224240a68
13145993a3
14b277528
1575d0155
hex504a1f0

84189680 has 40 divisors (see below), whose sum is σ = 197017152. Its totient is φ = 33456384.

The previous prime is 84189653. The next prime is 84189691. The reversal of 84189680 is 8698148.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9209 + ... + 15911.

Almost surely, 284189680 is an apocalyptic number.

84189680 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 84189680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98508576).

84189680 is an abundant number, since it is smaller than the sum of its proper divisors (112827472).

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

84189680 is a wasteful number, since it uses less digits than its factorization.

84189680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6873 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The square root of 84189680 is about 9175.4934472212. The cubic root of 84189680 is about 438.2813118863.

The spelling of 84189680 in words is "eighty-four million, one hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 2512 3140 6280 6703 12560 13406 26812 33515 53624 67030 107248 134060 268120 536240 1052371 2104742 4209484 5261855 8418968 10523710 16837936 21047420 42094840 84189680