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4378080 = 253571303
BaseRepresentation
bin10000101100110111100000
322020102121010
4100230313200
52110044310
6233500520
752133040
oct20546740
98212533
104378080
112520353
121571740
13ba39a5
1481d720
155b7320
hex42cde0

4378080 has 96 divisors (see below), whose sum is σ = 15773184. Its totient is φ = 999936.

The previous prime is 4378079. The next prime is 4378093. The reversal of 4378080 is 808734.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2709 + ... + 4011.

It is an arithmetic number, because the mean of its divisors is an integer number (164304).

Almost surely, 24378080 is an apocalyptic number.

4378080 is a gapful number since it is divisible by the number (40) 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 4378080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7886592).

4378080 is an abundant number, since it is smaller than the sum of its proper divisors (11395104).

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

4378080 is a wasteful number, since it uses less digits than its factorization.

4378080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 4378080 is about 2092.3861976222. The cubic root of 4378080 is about 163.5916870177.

The spelling of 4378080 in words is "four million, three hundred seventy-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1303 1680 2606 3360 3909 5212 6515 7818 9121 10424 13030 15636 18242 19545 20848 26060 27363 31272 36484 39090 41696 45605 52120 54726 62544 72968 78180 91210 104240 109452 125088 136815 145936 156360 182420 208480 218904 273630 291872 312720 364840 437808 547260 625440 729680 875616 1094520 1459360 2189040 4378080