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4020330204 = 223211172920593
BaseRepresentation
bin1110111110100001…
…0101111011011100
3101101011221221020200
43233220111323130
531213201031304
61502533343500
7201425146212
oct35750257334
911334857220
104020330204
11178340a650
12942497b90
134c0bbc217
142a1d26cb2
15187e3de39
hexefa15edc

4020330204 has 144 divisors (see below), whose sum is σ = 12143869920. Its totient is φ = 1107025920.

The previous prime is 4020330203. The next prime is 4020330229.

4020330204 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020330203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184932 + ... + 205524.

It is an arithmetic number, because the mean of its divisors is an integer number (84332430).

Almost surely, 24020330204 is an apocalyptic number.

4020330204 is a gapful number since it is divisible by the number (44) 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 4020330204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071934960).

4020330204 is an abundant number, since it is smaller than the sum of its proper divisors (8123539716).

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

4020330204 is a wasteful number, since it uses less digits than its factorization.

4020330204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20660 (or 20655 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4020330204 is about 63406.0738730920. The cubic root of 4020330204 is about 1590.0858574736.

It can be divided in two parts, 40203 and 30204, that added together give a palindrome (70407).

The spelling of 4020330204 in words is "four billion, twenty million, three hundred thirty thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 29 33 34 36 44 51 58 66 68 87 99 102 116 132 153 174 187 198 204 261 306 319 348 374 396 493 522 561 612 638 748 957 986 1044 1122 1276 1479 1683 1914 1972 2244 2871 2958 3366 3828 4437 5423 5742 5916 6732 8874 10846 11484 16269 17748 20593 21692 32538 41186 48807 61779 65076 82372 97614 123558 185337 195228 226523 247116 350081 370674 453046 597197 679569 700162 741348 906092 1050243 1194394 1359138 1400324 1791591 2038707 2100486 2388788 2718276 3150729 3583182 3850891 4077414 4200972 5374773 6301458 6569167 7166364 7701782 8154828 10152349 10749546 11552673 12602916 13138334 15403564 19707501 20304698 21499092 23105346 26276668 30457047 34658019 39415002 40609396 46210692 59122503 60914094 69316038 78830004 91371141 111675839 118245006 121828188 138632076 182742282 223351678 236490012 335027517 365484564 446703356 670055034 1005082551 1340110068 2010165102 4020330204