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4022064 = 2432173153
BaseRepresentation
bin1111010101111100110000
321120100020100
433111330300
52012201224
6222112400
746121064
oct17257460
97510210
104022064
1122a7922
12141b700
13aaa927
14769aa4
15546ac9
hex3d5f30

4022064 has 120 divisors (see below), whose sum is σ = 12534912. Its totient is φ = 1198080.

The previous prime is 4022063. The next prime is 4022069. The reversal of 4022064 is 4602204.

4022064 = T17 + T18 + ... + T288.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4022063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75862 + ... + 75914.

Almost surely, 24022064 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 4022064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267456).

4022064 is an abundant number, since it is smaller than the sum of its proper divisors (8512848).

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

4022064 is a wasteful number, since it uses less digits than its factorization.

4022064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4022064 is about 2005.5084143429. The cubic root of 4022064 is about 159.0314403235.

Adding to 4022064 its reverse (4602204), we get a palindrome (8624268).

The spelling of 4022064 in words is "four million, twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 34 36 48 51 53 62 68 72 93 102 106 124 136 144 153 159 186 204 212 248 272 279 306 318 372 408 424 477 496 527 558 612 636 744 816 848 901 954 1054 1116 1224 1272 1488 1581 1643 1802 1908 2108 2232 2448 2544 2703 3162 3286 3604 3816 4216 4464 4743 4929 5406 6324 6572 7208 7632 8109 8432 9486 9858 10812 12648 13144 14416 14787 16218 18972 19716 21624 25296 26288 27931 29574 32436 37944 39432 43248 55862 59148 64872 75888 78864 83793 111724 118296 129744 167586 223448 236592 251379 335172 446896 502758 670344 1005516 1340688 2011032 4022064