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4064214 = 2371119463
BaseRepresentation
bin1111100000001111010110
321122111001110
433200033112
52020023324
6223035450
746355010
oct17401726
97574043
104064214
112326560
12143bb86
13ac3b7b
1477b1b0
15554329
hex3e03d6

4064214 has 64 divisors (see below), whose sum is σ = 10690560. Its totient is φ = 997920.

The previous prime is 4064213. The next prime is 4064227. The reversal of 4064214 is 4124604.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4064213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8547 + ... + 9009.

It is an arithmetic number, because the mean of its divisors is an integer number (167040).

Almost surely, 24064214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4064214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5345280).

4064214 is an abundant number, since it is smaller than the sum of its proper divisors (6626346).

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

4064214 is a wasteful number, since it uses less digits than its factorization.

4064214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4064214 is about 2015.9895833064. The cubic root of 4064214 is about 159.5850445468.

Adding to 4064214 its reverse (4124604), we get a palindrome (8188818).

It can be divided in two parts, 4064 and 214, that added together give a triangular number (4278 = T92).

The spelling of 4064214 in words is "four million, sixty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 133 154 209 231 266 399 418 462 463 627 798 926 1254 1389 1463 2778 2926 3241 4389 5093 6482 8778 8797 9723 10186 15279 17594 19446 26391 30558 35651 52782 61579 71302 96767 106953 123158 184737 193534 213906 290301 369474 580602 677369 1354738 2032107 4064214