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5729921920 = 27523974013
BaseRepresentation
bin1010101011000011…
…11010101110000000
3112210022212012012101
411111201322232000
543213330000140
62344324040144
7261664350502
oct52541725600
915708765171
105729921920
112480434168
12113ab33054
13704146558
143c4dc7d72
1523808999a
hex15587ab80

5729921920 has 128 divisors (see below), whose sum is σ = 14444619840. Its totient is φ = 2169176064.

The previous prime is 5729921917. The next prime is 5729921929. The reversal of 5729921920 is 291299275.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5729921929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1425834 + ... + 1429846.

Almost surely, 25729921920 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 5729921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7222309920).

5729921920 is an abundant number, since it is smaller than the sum of its proper divisors (8714697920).

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

5729921920 is a wasteful number, since it uses less digits than its factorization.

5729921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 46.

The square root of 5729921920 is about 75696.2477273478. The cubic root of 5729921920 is about 1789.4362653694.

The spelling of 5729921920 in words is "five billion, seven hundred twenty-nine million, nine hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 97 115 128 160 184 194 230 320 368 388 460 485 640 736 776 920 970 1472 1552 1840 1940 2231 2944 3104 3680 3880 4013 4462 6208 7360 7760 8026 8924 11155 12416 14720 15520 16052 17848 20065 22310 31040 32104 35696 40130 44620 62080 64208 71392 80260 89240 92299 128416 142784 160520 178480 184598 256832 285568 321040 356960 369196 389261 461495 513664 642080 713920 738392 778522 922990 1284160 1427840 1476784 1557044 1845980 1946305 2568320 2953568 3114088 3691960 3892610 5907136 6228176 7383920 7785220 8953003 11814272 12456352 14767840 15570440 17906006 24912704 29535680 31140880 35812012 44765015 49825408 59071360 62281760 71624024 89530030 124563520 143248048 179060060 249127040 286496096 358120120 572992192 716240240 1145984384 1432480480 2864960960 5729921920