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4129020 = 22325729113
BaseRepresentation
bin1111110000000011111100
321202202221200
433300003330
52024112040
6224255500
750044650
oct17600374
97682850
104129020
112370215
121471590
13b1750c
14796a60
15568630
hex3f00fc

4129020 has 144 divisors (see below), whose sum is σ = 14938560. Its totient is φ = 903168.

The previous prime is 4129007. The next prime is 4129031. The reversal of 4129020 is 209214.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 4128984 and 4129002.

It is a congruent number.

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, 36484 + ... + 36596.

It is an arithmetic number, because the mean of its divisors is an integer number (103740).

Almost surely, 24129020 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 4129020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469280).

4129020 is an abundant number, since it is smaller than the sum of its proper divisors (10809540).

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

4129020 is a wasteful number, since it uses less digits than its factorization.

4129020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4129020 is about 2031.9990157478. Note that the first 3 decimals coincide. The cubic root of 4129020 is about 160.4287977183.

The spelling of 4129020 in words is "four million, one hundred twenty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 29 30 35 36 42 45 58 60 63 70 84 87 90 105 113 116 126 140 145 174 180 203 210 226 252 261 290 315 339 348 406 420 435 452 522 565 580 609 630 678 791 812 870 1015 1017 1044 1130 1218 1260 1305 1356 1582 1695 1740 1827 2030 2034 2260 2373 2436 2610 3045 3164 3277 3390 3654 3955 4060 4068 4746 5085 5220 6090 6554 6780 7119 7308 7910 9135 9492 9831 10170 11865 12180 13108 14238 15820 16385 18270 19662 20340 22939 23730 28476 29493 32770 35595 36540 39324 45878 47460 49155 58986 65540 68817 71190 91756 98310 114695 117972 137634 142380 147465 196620 206451 229390 275268 294930 344085 412902 458780 589860 688170 825804 1032255 1376340 2064510 4129020