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5729280 = 21035373
BaseRepresentation
bin10101110110110000000000
3101210002002120
4111312300000
52431314110
6322444240
766461304
oct25666000
911702076
105729280
113263547
121b03680
131257a0b
14a91d04
15782870
hex576c00

5729280 has 88 divisors (see below), whose sum is σ = 18373872. Its totient is φ = 1523712.

The previous prime is 5729263. The next prime is 5729329. The reversal of 5729280 is 829275.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15174 + ... + 15546.

It is an arithmetic number, because the mean of its divisors is an integer number (208794).

Almost surely, 25729280 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 5729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9186936).

5729280 is an abundant number, since it is smaller than the sum of its proper divisors (12644592).

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

5729280 is a wasteful number, since it uses less digits than its factorization.

5729280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 5729280 is about 2393.5914438350. The cubic root of 5729280 is about 178.9369439687.

The spelling of 5729280 in words is "five million, seven hundred twenty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 373 384 480 512 640 746 768 960 1024 1119 1280 1492 1536 1865 1920 2238 2560 2984 3072 3730 3840 4476 5120 5595 5968 7460 7680 8952 11190 11936 14920 15360 17904 22380 23872 29840 35808 44760 47744 59680 71616 89520 95488 119360 143232 179040 190976 238720 286464 358080 381952 477440 572928 716160 954880 1145856 1432320 1909760 2864640 5729280