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2430200120 = 235181335663
BaseRepresentation
bin1001000011011001…
…1110100100111000
320021100211221211212
42100312132210320
514434112400440
61041051342252
7114136234355
oct22066364470
96240757755
102430200120
11103786a357
12579a51988
132c9630a4a
14190a8162c
15e353e465
hex90d9e938

2430200120 has 32 divisors (see below), whose sum is σ = 5498176320. Its totient is φ = 966706560.

The previous prime is 2430200117. The next prime is 2430200131. The reversal of 2430200120 is 210020342.

It is a junction number, because it is equal to n+sod(n) for n = 2430200095 and 2430200104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160592 + ... + 175071.

It is an arithmetic number, because the mean of its divisors is an integer number (171818010).

Almost surely, 22430200120 is an apocalyptic number.

2430200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430200120 is an abundant number, since it is smaller than the sum of its proper divisors (3067976200).

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

2430200120 is a wasteful number, since it uses less digits than its factorization.

2430200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335855 (or 335851 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2430200120 is about 49297.0599529019. The cubic root of 2430200120 is about 1344.4583290742.

Adding to 2430200120 its reverse (210020342), we get a palindrome (2640220462).

The spelling of 2430200120 in words is "two billion, four hundred thirty million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 181 362 724 905 1448 1810 3620 7240 335663 671326 1342652 1678315 2685304 3356630 6713260 13426520 60755003 121510006 243020012 303775015 486040024 607550030 1215100060 2430200120