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2004203124 = 22327113719541
BaseRepresentation
bin111011101110101…
…1011011001110100
312011200021001211100
41313131123121310
513101033444444
6530513010100
7100444305540
oct16735333164
95150231740
102004203124
11939358520
1247b253930
1325c2b9511
14150270a20
15bae42e69
hex7775b674

2004203124 has 144 divisors (see below), whose sum is σ = 6487318656. Its totient is φ = 506476800.

The previous prime is 2004203111. The next prime is 2004203167. The reversal of 2004203124 is 4213024002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2004203097 and 2004203106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92794 + ... + 112334.

It is an arithmetic number, because the mean of its divisors is an integer number (45050824).

Almost surely, 22004203124 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 2004203124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243659328).

2004203124 is an abundant number, since it is smaller than the sum of its proper divisors (4483115532).

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

2004203124 is a wasteful number, since it uses less digits than its factorization.

2004203124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19606 (or 19601 counting only the distinct ones).

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

The square root of 2004203124 is about 44768.3272414773. The cubic root of 2004203124 is about 1260.8030330695.

Adding to 2004203124 its reverse (4213024002), we get a palindrome (6217227126).

The spelling of 2004203124 in words is "two billion, four million, two hundred three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 37 42 44 63 66 74 77 84 99 111 126 132 148 154 198 222 231 252 259 308 333 396 407 444 462 518 666 693 777 814 924 1036 1221 1332 1386 1554 1628 2331 2442 2772 2849 3108 3663 4662 4884 5698 7326 8547 9324 11396 14652 17094 19541 25641 34188 39082 51282 58623 78164 102564 117246 136787 175869 214951 234492 273574 351738 410361 429902 547148 644853 703476 723017 820722 859804 1231083 1289706 1446034 1504657 1641444 1934559 2169051 2462166 2579412 2892068 3009314 3869118 4338102 4513971 4924332 5061119 6018628 6507153 7738236 7953187 8676204 9027942 10122238 13014306 13541913 15183357 15906374 18055884 20244476 23859561 26028612 27083826 30366714 31812748 45550071 47719122 54167652 55672309 60733428 71578683 91100142 95438244 111344618 143157366 167016927 182200284 222689236 286314732 334033854 501050781 668067708 1002101562 2004203124