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2042511320 = 23523296527
BaseRepresentation
bin111100110111110…
…0011111111011000
312021100100022210102
41321233203333120
513140340330240
6534402034532
7101421026333
oct17157437730
95240308712
102042511320
11958a42a93
12490048a48
1326720cca5
141553a361a
15be4ad815
hex79be3fd8

2042511320 has 48 divisors (see below), whose sum is σ = 4804198560. Its totient is φ = 781474496.

The previous prime is 2042511313. The next prime is 2042511323. The reversal of 2042511320 is 231152402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2042511292 and 2042511301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042511323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27104 + ... + 69423.

It is an arithmetic number, because the mean of its divisors is an integer number (100087470).

Almost surely, 22042511320 is an apocalyptic number.

2042511320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042511320 is an abundant number, since it is smaller than the sum of its proper divisors (2761687240).

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

2042511320 is a wasteful number, since it uses less digits than its factorization.

2042511320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96584 (or 96557 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2042511320 is about 45194.1513915241. The cubic root of 2042511320 is about 1268.7853557087.

Adding to 2042511320 its reverse (231152402), we get a palindrome (2273663722).

The spelling of 2042511320 in words is "two billion, forty-two million, five hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 529 920 1058 2116 2645 4232 5290 10580 21160 96527 193054 386108 482635 772216 965270 1930540 2220121 3861080 4440242 8880484 11100605 17760968 22201210 44402420 51062783 88804840 102125566 204251132 255313915 408502264 510627830 1021255660 2042511320