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4680720 = 2433511197
BaseRepresentation
bin10001110110110000010000
322210210202000
4101312300100
52144240340
6244154000
754533262
oct21666020
98723660
104680720
112707770
121698900
13c7b675
1489bb32
15626d30
hex476c10

4680720 has 160 divisors (see below), whose sum is σ = 17677440. Its totient is φ = 1128960.

The previous prime is 4680719. The next prime is 4680727. The reversal of 4680720 is 270864.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4680727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23662 + ... + 23858.

It is an arithmetic number, because the mean of its divisors is an integer number (110484).

Almost surely, 24680720 is an apocalyptic number.

4680720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4680720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8838720).

4680720 is an abundant number, since it is smaller than the sum of its proper divisors (12996720).

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

4680720 is a wasteful number, since it uses less digits than its factorization.

4680720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4680720 is about 2163.4971689374. The cubic root of 4680720 is about 167.2775096015.

The spelling of 4680720 in words is "four million, six hundred eighty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 197 198 216 220 240 264 270 297 330 360 394 396 432 440 495 528 540 591 594 660 720 788 792 880 985 990 1080 1182 1188 1320 1485 1576 1584 1773 1970 1980 2160 2167 2364 2376 2640 2955 2970 3152 3546 3940 3960 4334 4728 4752 5319 5910 5940 6501 7092 7880 7920 8668 8865 9456 10638 10835 11820 11880 13002 14184 15760 17336 17730 19503 21276 21670 23640 23760 26004 26595 28368 32505 34672 35460 39006 42552 43340 47280 52008 53190 58509 65010 70920 78012 85104 86680 97515 104016 106380 117018 130020 141840 156024 173360 195030 212760 234036 260040 292545 312048 390060 425520 468072 520080 585090 780120 936144 1170180 1560240 2340360 4680720