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1142300430 = 2325292691627
BaseRepresentation
bin100010000010110…
…0001111100001110
32221121102212121100
41010011201330032
54314412103210
6305203243530
740210251645
oct10405417416
92847385540
101142300430
11536887247
1227a6795a6
1315287161b
14ab9d035c
156a43e5c0
hex44161f0e

1142300430 has 96 divisors (see below), whose sum is σ = 3085711200. Its totient is φ = 292836096.

The previous prime is 1142300413. The next prime is 1142300447. The reversal of 1142300430 is 340032411.

1142300430 is a `hidden beast` number, since 1 + 1 + 4 + 230 + 0 + 430 = 666.

It is an interprime number because it is at equal distance from previous prime (1142300413) and next prime (1142300447).

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 701277 + ... + 702903.

It is an arithmetic number, because the mean of its divisors is an integer number (32142825).

Almost surely, 21142300430 is an apocalyptic number.

1142300430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142300430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542855600).

1142300430 is an abundant number, since it is smaller than the sum of its proper divisors (1943410770).

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

1142300430 is a wasteful number, since it uses less digits than its factorization.

1142300430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1142300430 is about 33797.9352919672. The cubic root of 1142300430 is about 1045.3461243650.

Adding to 1142300430 its reverse (340032411), we get a palindrome (1482332841).

The spelling of 1142300430 in words is "one billion, one hundred forty-two million, three hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 269 290 435 522 538 807 870 1305 1345 1614 1627 2421 2610 2690 3254 4035 4842 4881 7801 8070 8135 9762 12105 14643 15602 16270 23403 24210 24405 29286 39005 46806 47183 48810 70209 73215 78010 94366 117015 140418 141549 146430 234030 235915 283098 351045 424647 437663 471830 702090 707745 849294 875326 1312989 1415490 2123235 2188315 2625978 3938967 4246470 4376630 6564945 7877934 12692227 13129890 19694835 25384454 38076681 39389670 63461135 76153362 114230043 126922270 190383405 228460086 380766810 571150215 1142300430