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2002403004 = 2237176720929
BaseRepresentation
bin111011101011010…
…0011111010111100
312011112212121112020
41313112203322330
513100103344004
6530410240140
7100423100430
oct16726437274
95145777466
102002403004
11938339018
1247a726050
1325bb09064
1414dd229c0
15babd98d9
hex775a3ebc

2002403004 has 96 divisors (see below), whose sum is σ = 5738503680. Its totient is φ = 530399232.

The previous prime is 2002402981. The next prime is 2002403009. The reversal of 2002403004 is 4003042002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002403009) 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, 85212 + ... + 106140.

It is an arithmetic number, because the mean of its divisors is an integer number (59776080).

Almost surely, 22002403004 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 2002403004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869251840).

2002403004 is an abundant number, since it is smaller than the sum of its proper divisors (3736100676).

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

2002403004 is a wasteful number, since it uses less digits than its factorization.

2002403004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21027 (or 21025 counting only the distinct ones).

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

The square root of 2002403004 is about 44748.2178863025. The cubic root of 2002403004 is about 1260.4254471578.

Adding to 2002403004 its reverse (4003042002), we get a palindrome (6005445006).

The spelling of 2002403004 in words is "two billion, two million, four hundred three thousand, four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 67 68 84 102 119 134 201 204 238 268 357 402 469 476 714 804 938 1139 1407 1428 1876 2278 2814 3417 4556 5628 6834 7973 13668 15946 20929 23919 31892 41858 47838 62787 83716 95676 125574 146503 251148 293006 355793 439509 586012 711586 879018 1067379 1402243 1423172 1758036 2134758 2490551 2804486 4206729 4269516 4981102 5608972 7471653 8413458 9815701 9962204 14943306 16826916 19631402 23838131 29447103 29886612 39262804 47676262 58894206 71514393 95352524 117788412 143028786 166866917 286057572 333733834 500600751 667467668 1001201502 2002403004