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5301760 = 29519109
BaseRepresentation
bin10100001110011000000000
3100222100122111
4110032120000
52324124020
6305345104
763031012
oct24163000
910870574
105301760
112aa1322
121938194
131138249
149c01b2
156ead5a
hex50e600

5301760 has 80 divisors (see below), whose sum is σ = 13503600. Its totient is φ = 1990656.

The previous prime is 5301757. The next prime is 5301781. The reversal of 5301760 is 671035.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48586 + ... + 48694.

It is an arithmetic number, because the mean of its divisors is an integer number (168795).

Almost surely, 25301760 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 5301760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751800).

5301760 is an abundant number, since it is smaller than the sum of its proper divisors (8201840).

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

5301760 is a wasteful number, since it uses less digits than its factorization.

5301760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 5301760 is about 2302.5551024894. Note that the first 3 decimals coincide. The cubic root of 5301760 is about 174.3706372585.

Adding to 5301760 its reverse (671035), we get a palindrome (5972795).

The spelling of 5301760 in words is "five million, three hundred one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 109 128 152 160 190 218 256 304 320 380 436 512 545 608 640 760 872 1090 1216 1280 1520 1744 2071 2180 2432 2560 3040 3488 4142 4360 4864 6080 6976 8284 8720 9728 10355 12160 13952 16568 17440 20710 24320 27904 33136 34880 41420 48640 55808 66272 69760 82840 132544 139520 165680 265088 279040 331360 530176 662720 1060352 1325440 2650880 5301760