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5783040 = 29325251
BaseRepresentation
bin10110000011111000000000
3101212210211200
4112003320000
52440024130
6323541200
7100104114
oct26037000
911783750
105783040
11329a97a
121b2a800
131276323
14aa7744
15793760
hex583e00

5783040 has 120 divisors (see below), whose sum is σ = 20108088. Its totient is φ = 1536000.

The previous prime is 5783039. The next prime is 5783047. The reversal of 5783040 is 403875.

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 5782995 and 5783013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5783047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22915 + ... + 23165.

Almost surely, 25783040 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 5783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10054044).

5783040 is an abundant number, since it is smaller than the sum of its proper divisors (14325048).

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

5783040 is a wasteful number, since it uses less digits than its factorization.

5783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5783040 is about 2404.7952095761. The cubic root of 5783040 is about 179.4948801441.

The spelling of 5783040 in words is "five million, seven hundred eighty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 251 256 288 320 360 384 480 502 512 576 640 720 753 768 960 1004 1152 1255 1280 1440 1506 1536 1920 2008 2259 2304 2510 2560 2880 3012 3765 3840 4016 4518 4608 5020 5760 6024 7530 7680 8032 9036 10040 11295 11520 12048 15060 16064 18072 20080 22590 23040 24096 30120 32128 36144 40160 45180 48192 60240 64256 72288 80320 90360 96384 120480 128512 144576 160640 180720 192768 240960 289152 321280 361440 385536 481920 578304 642560 722880 963840 1156608 1445760 1927680 2891520 5783040