Search a number
-
+
4234720 = 255719199
BaseRepresentation
bin10000001001110111100000
321222010221111
4100021313200
52041002340
6230433104
750665060
oct20116740
97863844
104234720
112432676
121502794
13b53669
147c33a0
15589aea
hex409de0

4234720 has 96 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 1368576.

The previous prime is 4234697. The next prime is 4234721. The reversal of 4234720 is 274324.

It is a junction number, because it is equal to n+sod(n) for n = 4234691 and 4234700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21181 + ... + 21379.

It is an arithmetic number, because the mean of its divisors is an integer number (126000).

Almost surely, 24234720 is an apocalyptic number.

4234720 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 4234720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

4234720 is an abundant number, since it is smaller than the sum of its proper divisors (7861280).

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

4234720 is a wasteful number, since it uses less digits than its factorization.

4234720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 4234720 is about 2057.8435314669. The cubic root of 4234720 is about 161.7862343346.

The spelling of 4234720 in words is "four million, two hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 70 76 80 95 112 133 140 152 160 190 199 224 266 280 304 380 398 532 560 608 665 760 796 995 1064 1120 1330 1393 1520 1592 1990 2128 2660 2786 3040 3184 3781 3980 4256 5320 5572 6368 6965 7562 7960 10640 11144 13930 15124 15920 18905 21280 22288 26467 27860 30248 31840 37810 44576 52934 55720 60496 75620 105868 111440 120992 132335 151240 211736 222880 264670 302480 423472 529340 604960 846944 1058680 2117360 4234720