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4219380 = 22325112131
BaseRepresentation
bin10000000110000111110100
321221100220100
4100012013310
52040010010
6230234100
750602254
oct20060764
97840810
104219380
1124220a0
1214b5930
13b49699
147bb964
155852c0
hex4061f4

4219380 has 72 divisors (see below), whose sum is σ = 13968864. Its totient is φ = 1022400.

The previous prime is 4219363. The next prime is 4219427. The reversal of 4219380 is 839124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 915 + ... + 3045.

It is an arithmetic number, because the mean of its divisors is an integer number (194012).

Almost surely, 24219380 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 4219380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6984432).

4219380 is an abundant number, since it is smaller than the sum of its proper divisors (9749484).

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

4219380 is a wasteful number, since it uses less digits than its factorization.

4219380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4219380 is about 2054.1129472354. The cubic root of 4219380 is about 161.5906445749.

It can be divided in two parts, 421 and 9380, that added together give a square (9801 = 992).

The spelling of 4219380 in words is "four million, two hundred nineteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 2131 4262 6393 8524 10655 12786 19179 21310 23441 25572 31965 38358 42620 46882 63930 70323 76716 93764 95895 117205 127860 140646 191790 210969 234410 281292 351615 383580 421938 468820 703230 843876 1054845 1406460 2109690 4219380