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4211040 = 253531283
BaseRepresentation
bin10000000100000101100000
321220221110110
4100010011200
52034223130
6230131320
750536041
oct20040540
97827413
104211040
1124168a9
1214b0b40
13b45952
147b88c8
15582ab0
hex404160

4211040 has 96 divisors (see below), whose sum is σ = 13741056. Its totient is φ = 1082880.

The previous prime is 4211029. The next prime is 4211063. The reversal of 4211040 is 401124.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14739 + ... + 15021.

It is an arithmetic number, because the mean of its divisors is an integer number (143136).

Almost surely, 24211040 is an apocalyptic number.

4211040 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 4211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6870528).

4211040 is an abundant number, since it is smaller than the sum of its proper divisors (9530016).

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

4211040 is a wasteful number, since it uses less digits than its factorization.

4211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4211040 is about 2052.0818697118. The cubic root of 4211040 is about 161.4841079999.

Adding to 4211040 its reverse (401124), we get a palindrome (4612164).

The spelling of 4211040 in words is "four million, two hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 283 310 372 465 480 496 566 620 744 849 930 992 1132 1240 1415 1488 1698 1860 2264 2480 2830 2976 3396 3720 4245 4528 4960 5660 6792 7440 8490 8773 9056 11320 13584 14880 16980 17546 22640 26319 27168 33960 35092 43865 45280 52638 67920 70184 87730 105276 131595 135840 140368 175460 210552 263190 280736 350920 421104 526380 701840 842208 1052760 1403680 2105520 4211040