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2420023120 = 245157192677
BaseRepresentation
bin1001000000111110…
…1001111101010000
320020122200220121221
42100033221331100
514424011214440
61040045254424
7113653566664
oct22017517520
96218626557
102420023120
111032049209
12576564414
132c74a9758
1418d5928a4
15e26cdd4a
hex903e9f50

2420023120 has 40 divisors (see below), whose sum is σ = 5662421064. Its totient is φ = 961838592.

The previous prime is 2420023061. The next prime is 2420023121. The reversal of 2420023120 is 213200242.

It can be written as a sum of positive squares in 4 ways, for example, as 29986576 + 2390036544 = 5476^2 + 48888^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2420023094 and 2420023103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420023121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83779 + ... + 108898.

Almost surely, 22420023120 is an apocalyptic number.

2420023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420023120 is an abundant number, since it is smaller than the sum of its proper divisors (3242397944).

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

2420023120 is a wasteful number, since it uses less digits than its factorization.

2420023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192847 (or 192841 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2420023120 is about 49193.7304948507. The cubic root of 2420023120 is about 1342.5789644308.

Adding to 2420023120 its reverse (213200242), we get a palindrome (2633223362).

The spelling of 2420023120 in words is "two billion, four hundred twenty million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 2512 3140 6280 12560 192677 385354 770708 963385 1541416 1926770 3082832 3853540 7707080 15414160 30250289 60500578 121001156 151251445 242002312 302502890 484004624 605005780 1210011560 2420023120