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2420203014 = 2321923313983
BaseRepresentation
bin1001000001000001…
…0101111000000110
320020200001001101200
42100100111320012
514424032444024
61040053203330
7113655246315
oct22020257006
96220031350
102420203014
111032161389
12576630546
132c75405b8
1418d5dc27c
15e27172c9
hex90415e06

2420203014 has 96 divisors (see below), whose sum is σ = 5784030720. Its totient is φ = 727968384.

The previous prime is 2420203003. The next prime is 2420203031. The reversal of 2420203014 is 4103020242.

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

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 47 ways as a sum of consecutive naturals, for example, 2461567 + ... + 2462549.

It is an arithmetic number, because the mean of its divisors is an integer number (60250320).

Almost surely, 22420203014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420203014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892015360).

2420203014 is an abundant number, since it is smaller than the sum of its proper divisors (3363827706).

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

2420203014 is a wasteful number, since it uses less digits than its factorization.

2420203014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1343 counting only the distinct ones).

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

The square root of 2420203014 is about 49195.5588849237. The cubic root of 2420203014 is about 1342.6122307681.

Adding to 2420203014 its reverse (4103020242), we get a palindrome (6523223256).

The spelling of 2420203014 in words is "two billion, four hundred twenty million, two hundred three thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 171 207 313 342 414 437 626 874 939 983 1311 1878 1966 2622 2817 2949 3933 5634 5898 5947 7199 7866 8847 11894 14398 17694 17841 18677 21597 22609 35682 37354 43194 45218 53523 56031 64791 67827 107046 112062 129582 135654 136781 168093 203481 273562 307679 336186 406962 410343 429571 615358 820686 859142 923037 1231029 1288713 1846074 2462058 2577426 2769111 3866139 5538222 5845901 7076617 7732278 11691802 14153234 17537703 21229851 35075406 42459702 52613109 63689553 105226218 127379106 134455723 268911446 403367169 806734338 1210101507 2420203014