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5729360 = 245713787
BaseRepresentation
bin10101110110110001010000
3101210002012112
4111312301100
52431314420
6322444452
766461450
oct25666120
911702175
105729360
11326360a
121b03728
131257a70
14a91d60
157828c5
hex576c50

5729360 has 80 divisors (see below), whose sum is σ = 16415616. Its totient is φ = 1810944.

The previous prime is 5729359. The next prime is 5729377. The reversal of 5729360 is 639275.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6887 + ... + 7673.

Almost surely, 25729360 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 5729360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8207808).

5729360 is an abundant number, since it is smaller than the sum of its proper divisors (10686256).

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

5729360 is a wasteful number, since it uses less digits than its factorization.

5729360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 5729360 is about 2393.6081550663. The cubic root of 5729360 is about 178.9377768185.

The spelling of 5729360 in words is "five million, seven hundred twenty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 787 910 1040 1456 1574 1820 3148 3640 3935 5509 6296 7280 7870 10231 11018 12592 15740 20462 22036 27545 31480 40924 44072 51155 55090 62960 71617 81848 88144 102310 110180 143234 163696 204620 220360 286468 358085 409240 440720 572936 716170 818480 1145872 1432340 2864680 5729360