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2530630431 = 3572283751
BaseRepresentation
bin1001011011010110…
…0101101100011111
320112100211100100000
42112311211230133
520140320133211
61055040105343
7116466001200
oct22665455437
96470740300
102530630431
11108952510a
125a7605253
13314395374
141a01455a7
15ec27b656
hex96d65b1f

2530630431 has 72 divisors (see below), whose sum is σ = 4431108864. Its totient is φ = 1439046000.

The previous prime is 2530630411. The next prime is 2530630441. The reversal of 2530630431 is 1340360352.

It is a happy number.

2530630431 is a `hidden beast` number, since 25 + 3 + 0 + 630 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 2530630431 - 29 = 2530629919 is a prime.

It is a super-2 number, since 2×25306304312 = 12808180756606491522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2530630395 and 2530630404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530630411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3369306 + ... + 3370056.

Almost surely, 22530630431 is an apocalyptic number.

2530630431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2530630431 is a deficient number, since it is larger than the sum of its proper divisors (1900478433).

2530630431 is an equidigital number, since it uses as much as digits as its factorization.

2530630431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 2530630431 is about 50305.3717906945. The cubic root of 2530630431 is about 1362.7292423074.

Adding to 2530630431 its reverse (1340360352), we get a palindrome (3870990783).

The spelling of 2530630431 in words is "two billion, five hundred thirty million, six hundred thirty thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 283 441 567 751 849 1323 1701 1981 2253 2547 3969 5257 5943 6759 7641 11907 13867 15771 17829 20277 22923 36799 41601 47313 53487 60831 68769 110397 124803 141939 160461 182493 212533 331191 374409 425817 481383 637599 993573 1123227 1277451 1487731 1912797 2980719 3369681 4463193 5738391 8942157 10414117 13389579 17215173 31242351 40168737 51645519 93727053 120506211 281181159 361518633 843543477 2530630431