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57703680 = 283255009
BaseRepresentation
bin1101110000011…
…1110100000000
311000120122120100
43130013310000
5104233004210
65420442400
71300321206
oct334076400
9130518510
1057703680
112a6326a1
12173a9400
13bc549b8
147941076
1550ec5c0
hex3707d00

57703680 has 108 divisors (see below), whose sum is σ = 199688580. Its totient is φ = 15384576.

The previous prime is 57703673. The next prime is 57703699. The reversal of 57703680 is 8630775.

57703680 is a `hidden beast` number, since 577 + 0 + 3 + 6 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23970816 + 33732864 = 4896^2 + 5808^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 9016 + ... + 14024.

Almost surely, 257703680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99844290).

57703680 is an abundant number, since it is smaller than the sum of its proper divisors (141984900).

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

57703680 is a wasteful number, since it uses less digits than its factorization.

57703680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 57703680 is about 7596.2938331794. The cubic root of 57703680 is about 386.4273324029.

The spelling of 57703680 in words is "fifty-seven million, seven hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5009 5760 10018 11520 15027 20036 25045 30054 40072 45081 50090 60108 75135 80144 90162 100180 120216 150270 160288 180324 200360 225405 240432 300540 320576 360648 400720 450810 480864 601080 641152 721296 801440 901620 961728 1202160 1282304 1442592 1602880 1803240 1923456 2404320 2885184 3205760 3606480 3846912 4808640 5770368 6411520 7212960 9617280 11540736 14425920 19234560 28851840 57703680