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5729760 = 2532523173
BaseRepresentation
bin10101110110110111100000
3101210002202100
4111312313200
52431323020
6322450400
766462561
oct25666740
911702670
105729760
113263943
121b03a00
131257cba
14a92168
15782a90
hex576de0

5729760 has 144 divisors (see below), whose sum is σ = 20520864. Its totient is φ = 1453056.

The previous prime is 5729747. The next prime is 5729767. The reversal of 5729760 is 679275.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5729767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33034 + ... + 33206.

It is an arithmetic number, because the mean of its divisors is an integer number (142506).

Almost surely, 25729760 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 5729760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10260432).

5729760 is an abundant number, since it is smaller than the sum of its proper divisors (14791104).

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

5729760 is a wasteful number, since it uses less digits than its factorization.

5729760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 5729760 is about 2393.6917094730. The cubic root of 5729760 is about 178.9419409512.

The spelling of 5729760 in words is "five million, seven hundred twenty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 173 180 184 207 230 240 276 288 345 346 360 368 414 460 480 519 552 690 692 720 736 828 865 920 1035 1038 1104 1380 1384 1440 1557 1656 1730 1840 2070 2076 2208 2595 2760 2768 3114 3312 3460 3680 3979 4140 4152 5190 5520 5536 6228 6624 6920 7785 7958 8280 8304 10380 11040 11937 12456 13840 15570 15916 16560 16608 19895 20760 23874 24912 27680 31140 31832 33120 35811 39790 41520 47748 49824 59685 62280 63664 71622 79580 83040 95496 119370 124560 127328 143244 159160 179055 190992 238740 249120 286488 318320 358110 381984 477480 572976 636640 716220 954960 1145952 1432440 1909920 2864880 5729760