Search a number
-
+
20404230 = 235711373
BaseRepresentation
bin100110111010…
…1100000000110
31102101122100020
41031311200012
520210413410
62005200010
7335301360
oct115654006
942348306
1020404230
1110577000
126a00006
1342c5412
1429d1d30
151bd0a70
hex1375806

20404230 has 128 divisors (see below), whose sum is σ = 62401536. Its totient is φ = 4181760.

The previous prime is 20404213. The next prime is 20404249. The reversal of 20404230 is 3240402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279474 + ... + 279546.

It is an arithmetic number, because the mean of its divisors is an integer number (487512).

Almost surely, 220404230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20404230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31200768).

20404230 is an abundant number, since it is smaller than the sum of its proper divisors (41997306).

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

20404230 is a wasteful number, since it uses less digits than its factorization.

20404230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 20404230 is about 4517.1041608535. The cubic root of 20404230 is about 273.2583259716.

Adding to 20404230 its reverse (3240402), we get a palindrome (23644632).

The spelling of 20404230 in words is "twenty million, four hundred four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 73 77 105 110 121 146 154 165 210 219 231 242 330 363 365 385 438 462 511 605 726 730 770 803 847 1022 1095 1155 1210 1331 1533 1606 1694 1815 2190 2310 2409 2541 2555 2662 3066 3630 3993 4015 4235 4818 5082 5110 5621 6655 7665 7986 8030 8470 8833 9317 11242 12045 12705 13310 15330 16863 17666 18634 19965 24090 25410 26499 27951 28105 33726 39930 44165 46585 52998 55902 56210 61831 84315 88330 93170 97163 123662 132495 139755 168630 185493 194326 264990 279510 291489 309155 370986 485815 582978 618310 680141 927465 971630 1360282 1457445 1854930 2040423 2914890 3400705 4080846 6801410 10202115 20404230