Search a number
-
+
30824118 = 23313192311
BaseRepresentation
bin111010110010…
…1011010110110
32011000000202000
41311211122312
530342332433
63020400130
7523000143
oct165453266
964000660
1030824118
1116443686
12a3a6046
136503130
1441453ca
152a8d113
hex1d656b6

30824118 has 64 divisors (see below), whose sum is σ = 77683200. Its totient is φ = 8981280.

The previous prime is 30824107. The next prime is 30824147. The reversal of 30824118 is 81142803.

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 = 30824091 and 30824100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12183 + ... + 14493.

It is an arithmetic number, because the mean of its divisors is an integer number (1213800).

Almost surely, 230824118 is an apocalyptic number.

30824118 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30824118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38841600).

30824118 is an abundant number, since it is smaller than the sum of its proper divisors (46859082).

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

30824118 is a wasteful number, since it uses less digits than its factorization.

30824118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 30824118 is about 5551.9472259740. The cubic root of 30824118 is about 313.5428388610.

The spelling of 30824118 in words is "thirty million, eight hundred twenty-four thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1482 2223 2311 4446 4622 6669 6933 13338 13866 20799 30043 41598 43909 60086 62397 87818 90129 124794 131727 180258 263454 270387 395181 540774 570817 790362 811161 1141634 1185543 1622322 1712451 2371086 3424902 5137353 10274706 15412059 30824118