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2013003424 = 25237989389
BaseRepresentation
bin111011111111011…
…1111111010100000
312012021211011120101
41313332333322200
513110312102144
6531425352144
7100612150435
oct16776777240
95167734511
102013003424
119433192a3
12482198654
1326107acb3
141514c1b8c
15bbad06d4
hex77fbfea0

2013003424 has 96 divisors (see below), whose sum is σ = 4245696000. Its totient is φ = 937457664.

The previous prime is 2013003413. The next prime is 2013003437. The reversal of 2013003424 is 4243003102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5174622 + ... + 5175010.

It is an arithmetic number, because the mean of its divisors is an integer number (44226000).

Almost surely, 22013003424 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 2013003424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122848000).

2013003424 is an abundant number, since it is smaller than the sum of its proper divisors (2232692576).

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

2013003424 is a wasteful number, since it uses less digits than its factorization.

2013003424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2013003424 is about 44866.5067060051. The cubic root of 2013003424 is about 1262.6457013689.

Adding to 2013003424 its reverse (4243003102), we get a palindrome (6256006526).

The spelling of 2013003424 in words is "two billion, thirteen million, three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 79 89 92 158 178 184 316 356 368 389 632 712 736 778 1264 1424 1556 1817 2047 2528 2848 3112 3634 4094 6224 7031 7268 8188 8947 12448 14062 14536 16376 17894 28124 29072 30731 32752 34621 35788 56248 58144 61462 65504 69242 71576 112496 122924 138484 143152 161713 224992 245848 276968 286304 323426 491696 553936 646852 706813 796283 983392 1107872 1293704 1413626 1592566 2587408 2735059 2827252 3185132 5174816 5470118 5654504 6370264 10940236 11309008 12740528 21880472 22618016 25481056 43760944 62906357 87521888 125812714 251625428 503250856 1006501712 2013003424