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4206440 = 235783181
BaseRepresentation
bin10000000010111101101000
321220201011002
4100002331220
52034101230
6230054132
750516450
oct20027550
97821132
104206440
1124133a7
1214aa348
13b43824
147b6d60
15581545
hex402f68

4206440 has 64 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 1416960.

The previous prime is 4206439. The next prime is 4206443. The reversal of 4206440 is 446024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a d-powerful number, because it can be written as 44 + 23 + 0 + 65 + 46 + 411 + 0 .

It is not an unprimeable number, because it can be changed into a prime (4206443) 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, 23150 + ... + 23330.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 24206440 is an apocalyptic number.

4206440 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 4206440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

4206440 is an abundant number, since it is smaller than the sum of its proper divisors (6800920).

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

4206440 is a wasteful number, since it uses less digits than its factorization.

4206440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4206440 is about 2050.9607504777. The cubic root of 4206440 is about 161.4252866208.

The spelling of 4206440 in words is "four million, two hundred six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 140 166 181 280 332 362 415 581 664 724 830 905 1162 1267 1448 1660 1810 2324 2534 2905 3320 3620 4648 5068 5810 6335 7240 10136 11620 12670 15023 23240 25340 30046 50680 60092 75115 105161 120184 150230 210322 300460 420644 525805 600920 841288 1051610 2103220 4206440