Search a number
-
+
4199880 = 2335311129
BaseRepresentation
bin10000000001010111001000
321220101011010
4100001113020
52033344010
6230003520
750461356
oct20012710
97811133
104199880
112409483
1214a65a0
13b40849
147b47d6
1557e620
hex4015c8

4199880 has 64 divisors (see below), whose sum is σ = 13017600. Its totient is φ = 1082880.

The previous prime is 4199861. The next prime is 4199887. The reversal of 4199880 is 889914.

It is not an unprimeable number, because it can be changed into a prime (4199887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3156 + ... + 4284.

It is an arithmetic number, because the mean of its divisors is an integer number (203400).

Almost surely, 24199880 is an apocalyptic number.

4199880 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 4199880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6508800).

4199880 is an abundant number, since it is smaller than the sum of its proper divisors (8817720).

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

4199880 is a wasteful number, since it uses less digits than its factorization.

4199880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 4199880 is about 2049.3608759806. The cubic root of 4199880 is about 161.3413279891.

The spelling of 4199880 in words is "four million, one hundred ninety-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1129 1240 1860 2258 3387 3720 4516 5645 6774 9032 11290 13548 16935 22580 27096 33870 34999 45160 67740 69998 104997 135480 139996 174995 209994 279992 349990 419988 524985 699980 839976 1049970 1399960 2099940 4199880