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20024004 = 223711131667
BaseRepresentation
bin100110001100…
…0101011000100
31101200022202210
41030120223010
520111232004
61553103420
7332126010
oct114305304
941608683
1020024004
1110337370
126857b70
1341c1330
142933540
151b58089
hex1318ac4

20024004 has 96 divisors (see below), whose sum is σ = 62770176. Its totient is φ = 4798080.

The previous prime is 20023987. The next prime is 20024009. The reversal of 20024004 is 40042002.

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

It is not an unprimeable number, because it can be changed into a prime (20024009) 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, 11179 + ... + 12845.

It is an arithmetic number, because the mean of its divisors is an integer number (653856).

Almost surely, 220024004 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 20024004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31385088).

20024004 is an abundant number, since it is smaller than the sum of its proper divisors (42746172).

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

20024004 is a wasteful number, since it uses less digits than its factorization.

20024004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 20024004 is about 4474.8188790162. The cubic root of 20024004 is about 271.5503130441.

Adding to 20024004 its reverse (40042002), we get a palindrome (60066006).

It can be divided in two parts, 2002 and 4004, that added together give a palindrome (6006).

The spelling of 20024004 in words is "twenty million, twenty-four thousand, four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1667 1716 2002 3003 3334 4004 5001 6006 6668 10002 11669 12012 18337 20004 21671 23338 35007 36674 43342 46676 55011 65013 70014 73348 86684 110022 128359 130026 140028 151697 220044 238381 256718 260052 303394 385077 455091 476762 513436 606788 715143 770154 910182 953524 1430286 1540308 1668667 1820364 2860572 3337334 5006001 6674668 10012002 20024004