Search a number
-
+
4208380 = 2251123747
BaseRepresentation
bin10000000011011011111100
321220210210221
4100003123330
52034132010
6230111124
750525221
oct20033374
97823727
104208380
112414900
1214ab4a4
13b44687
147b7948
15581dda
hex4036fc

4208380 has 72 divisors (see below), whose sum is σ = 10188864. Its totient is φ = 1457280.

The previous prime is 4208371. The next prime is 4208387. The reversal of 4208380 is 838024.

4208380 = T75 + T76 + ... + T294.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4208387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89517 + ... + 89563.

It is an arithmetic number, because the mean of its divisors is an integer number (141512).

Almost surely, 24208380 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 4208380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094432).

4208380 is an abundant number, since it is smaller than the sum of its proper divisors (5980484).

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

4208380 is a wasteful number, since it uses less digits than its factorization.

4208380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 4208380 is about 2051.4336450395. The cubic root of 4208380 is about 161.4500991245.

The spelling of 4208380 in words is "four million, two hundred eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 37 44 47 55 74 94 110 121 148 185 188 220 235 242 370 407 470 484 517 605 740 814 940 1034 1210 1628 1739 2035 2068 2420 2585 3478 4070 4477 5170 5687 6956 8140 8695 8954 10340 11374 17390 17908 19129 22385 22748 28435 34780 38258 44770 56870 76516 89540 95645 113740 191290 210419 382580 420838 841676 1052095 2104190 4208380