Search a number
-
+
30160416 = 25311134
BaseRepresentation
bin111001100001…
…1011000100000
32002202022022110
41303003120200
530210113131
62554235320
7514234146
oct163033040
962668273
1030160416
111602aa70
12a125b40
136330000
144011596
1529ab646
hex1cc3620

30160416 has 120 divisors (see below), whose sum is σ = 93565584. Its totient is φ = 8436480.

The previous prime is 30160399. The next prime is 30160423. The reversal of 30160416 is 61406103.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 30160392 and 30160401.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2320026 + ... + 2320038.

Almost surely, 230160416 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 30160416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46782792).

30160416 is an abundant number, since it is smaller than the sum of its proper divisors (63405168).

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

30160416 is an equidigital number, since it uses as much as digits as its factorization.

30160416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 30160416 is about 5491.8499615339. The cubic root of 30160416 is about 311.2760994872.

Adding to 30160416 its reverse (61406103), we get a palindrome (91566519).

The spelling of 30160416 in words is "thirty million, one hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 169 176 208 264 286 312 338 352 416 429 507 528 572 624 676 858 1014 1056 1144 1248 1352 1716 1859 2028 2197 2288 2704 3432 3718 4056 4394 4576 5408 5577 6591 6864 7436 8112 8788 11154 13182 13728 14872 16224 17576 22308 24167 26364 28561 29744 35152 44616 48334 52728 57122 59488 70304 72501 85683 89232 96668 105456 114244 145002 171366 178464 193336 210912 228488 290004 314171 342732 386672 456976 580008 628342 685464 773344 913952 942513 1160016 1256684 1370928 1885026 2320032 2513368 2741856 3770052 5026736 7540104 10053472 15080208 30160416