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84048560 = 2459710831
BaseRepresentation
bin1010000001001…
…11101010110000
312212011002221122
411000213222300
5133004023220
612201241412
72040254351
oct500475260
9185132848
1084048560
1143496a22
1224193268
131454a09b
14b23bd28
1575a3425
hex5027ab0

84048560 has 40 divisors (see below), whose sum is σ = 197445696. Its totient is φ = 33269760.

The previous prime is 84048557. The next prime is 84048577. The reversal of 84048560 is 6584048.

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

It is a self number, because there is not a number n which added to its sum of digits gives 84048560.

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 7 ways as a sum of consecutive naturals, for example, 2345 + ... + 13175.

Almost surely, 284048560 is an apocalyptic number.

84048560 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 84048560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98722848).

84048560 is an abundant number, since it is smaller than the sum of its proper divisors (113397136).

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

84048560 is a wasteful number, since it uses less digits than its factorization.

84048560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10941 (or 10935 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 84048560 is about 9167.8001723423. The cubic root of 84048560 is about 438.0362903703.

The spelling of 84048560 in words is "eighty-four million, forty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3880 7760 10831 21662 43324 54155 86648 108310 173296 216620 433240 866480 1050607 2101214 4202428 5253035 8404856 10506070 16809712 21012140 42024280 84048560