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5045760 = 2933573
BaseRepresentation
bin10011001111111000000000
3100111100111000
4103033320000
52242431020
6300052000
760613446
oct23177000
910440430
105045760
112936a55
121834000
131078875
14954b96
1569a090
hex4cfe00

5045760 has 160 divisors (see below), whose sum is σ = 18168480. Its totient is φ = 1327104.

The previous prime is 5045743. The next prime is 5045771. The reversal of 5045760 is 675405.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69084 + ... + 69156.

It is an arithmetic number, because the mean of its divisors is an integer number (113553).

Almost surely, 25045760 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 5045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9084240).

5045760 is an abundant number, since it is smaller than the sum of its proper divisors (13122720).

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

5045760 is an equidigital number, since it uses as much as digits as its factorization.

5045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5045760 is about 2246.2769197051. The cubic root of 5045760 is about 171.5176679716.

The spelling of 5045760 in words is "five million, forty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 73 80 90 96 108 120 128 135 144 146 160 180 192 216 219 240 256 270 288 292 320 360 365 384 432 438 480 512 540 576 584 640 657 720 730 768 864 876 960 1080 1095 1152 1168 1280 1314 1440 1460 1536 1728 1752 1920 1971 2160 2190 2304 2336 2560 2628 2880 2920 3285 3456 3504 3840 3942 4320 4380 4608 4672 5256 5760 5840 6570 6912 7008 7680 7884 8640 8760 9344 9855 10512 11520 11680 13140 13824 14016 15768 17280 17520 18688 19710 21024 23040 23360 26280 28032 31536 34560 35040 37376 39420 42048 46720 52560 56064 63072 69120 70080 78840 84096 93440 105120 112128 126144 140160 157680 168192 186880 210240 252288 280320 315360 336384 420480 504576 560640 630720 840960 1009152 1261440 1681920 2522880 5045760