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30142392 = 2337593041
BaseRepresentation
bin111001011111…
…0111110111000
32002201101120220
41302332332320
530204024032
62554020040
7514130460
oct162767670
962641526
1030142392
1116018475
12a117620
136324a47
144008ba0
1529a612c
hex1cbefb8

30142392 has 64 divisors (see below), whose sum is σ = 87609600. Its totient is φ = 8463360.

The previous prime is 30142381. The next prime is 30142393. The reversal of 30142392 is 29324103.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30142393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8392 + ... + 11432.

It is an arithmetic number, because the mean of its divisors is an integer number (1368900).

Almost surely, 230142392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30142392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43804800).

30142392 is an abundant number, since it is smaller than the sum of its proper divisors (57467208).

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

30142392 is a wasteful number, since it uses less digits than its factorization.

30142392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 30142392 is about 5490.2087392011. The cubic root of 30142392 is about 311.2140804664.

Adding to 30142392 its reverse (29324103), we get a palindrome (59466495).

The spelling of 30142392 in words is "thirty million, one hundred forty-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1239 1416 1652 2478 3041 3304 4956 6082 9123 9912 12164 18246 21287 24328 36492 42574 63861 72984 85148 127722 170296 179419 255444 358838 510888 538257 717676 1076514 1255933 1435352 2153028 2511866 3767799 4306056 5023732 7535598 10047464 15071196 30142392