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5800740 = 22351121747
BaseRepresentation
bin10110001000001100100100
3101220201010020
4112020030210
52441110430
6324155140
7100206531
oct26101444
911821106
105800740
113302200
121b38ab0
1312813ba
14aadd88
15798b10
hex588324

5800740 has 144 divisors (see below), whose sum is σ = 19305216. Its totient is φ = 1295360.

The previous prime is 5800727. The next prime is 5800759. The reversal of 5800740 is 470085.

It is an Ulam number.

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 5800740.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123397 + ... + 123443.

It is an arithmetic number, because the mean of its divisors is an integer number (134064).

Almost surely, 25800740 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 5800740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652608).

5800740 is an abundant number, since it is smaller than the sum of its proper divisors (13504476).

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

5800740 is a wasteful number, since it uses less digits than its factorization.

5800740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 5800740 is about 2408.4725449961. The cubic root of 5800740 is about 179.6778187349.

It can be divided in two parts, 5 and 800740, that added together give a triangular number (800745 = T1265).

The spelling of 5800740 in words is "five million, eight hundred thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 47 51 55 60 66 68 85 94 102 110 121 132 141 165 170 187 188 204 220 235 242 255 282 330 340 363 374 470 484 510 517 561 564 605 660 705 726 748 799 935 940 1020 1034 1122 1210 1410 1452 1551 1598 1815 1870 2057 2068 2244 2397 2420 2585 2805 2820 3102 3196 3630 3740 3995 4114 4794 5170 5610 5687 6171 6204 7260 7755 7990 8228 8789 9588 10285 10340 11220 11374 11985 12342 15510 15980 17061 17578 20570 22748 23970 24684 26367 28435 30855 31020 34122 35156 41140 43945 47940 52734 56870 61710 68244 85305 87890 96679 105468 113740 123420 131835 170610 175780 193358 263670 290037 341220 386716 483395 527340 580074 966790 1160148 1450185 1933580 2900370 5800740