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30125880 = 23325671249
BaseRepresentation
bin111001011101…
…0111100111000
32002200112221100
41302322330320
530203012010
62553411400
7514031361
oct162727470
962615840
1030125880
1116007024
12a109b60
13631a385
144002b68
1529a12c0
hex1cbaf38

30125880 has 96 divisors (see below), whose sum is σ = 99450000. Its totient is φ = 7907328.

The previous prime is 30125873. The next prime is 30125899. The reversal of 30125880 is 8852103.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23496 + ... + 24744.

Almost surely, 230125880 is an apocalyptic number.

30125880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30125880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49725000).

30125880 is an abundant number, since it is smaller than the sum of its proper divisors (69324120).

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

30125880 is a wasteful number, since it uses less digits than its factorization.

30125880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 30125880 is about 5488.7047652429. The cubic root of 30125880 is about 311.1572424035.

Adding to 30125880 its reverse (8852103), we get a palindrome (38977983).

The spelling of 30125880 in words is "thirty million, one hundred twenty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 90 120 134 180 201 268 335 360 402 536 603 670 804 1005 1206 1249 1340 1608 2010 2412 2498 2680 3015 3747 4020 4824 4996 6030 6245 7494 8040 9992 11241 12060 12490 14988 18735 22482 24120 24980 29976 37470 44964 49960 56205 74940 83683 89928 112410 149880 167366 224820 251049 334732 418415 449640 502098 669464 753147 836830 1004196 1255245 1506294 1673660 2008392 2510490 3012588 3347320 3765735 5020980 6025176 7531470 10041960 15062940 30125880