Search a number
-
+
30493080 = 23325711193
BaseRepresentation
bin111010001010…
…0100110011000
32010101012122100
41310110212120
530301234310
63005323400
7520121052
oct164244630
963335570
1030493080
11162379a2
12a266560
136418557
14409a8d2
152a24ec0
hex1d14998

30493080 has 96 divisors (see below), whose sum is σ = 100582560. Its totient is φ = 8010240.

The previous prime is 30493051. The next prime is 30493093. The reversal of 30493080 is 8039403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24964 + ... + 26156.

It is an arithmetic number, because the mean of its divisors is an integer number (1047735).

Almost surely, 230493080 is an apocalyptic number.

30493080 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 30493080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50291280).

30493080 is an abundant number, since it is smaller than the sum of its proper divisors (70089480).

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

30493080 is a wasteful number, since it uses less digits than its factorization.

30493080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30493080 is about 5522.0539656907. The cubic root of 30493080 is about 312.4163573478.

The spelling of 30493080 in words is "thirty million, four hundred ninety-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 568 639 710 852 1065 1193 1278 1420 1704 2130 2386 2556 2840 3195 3579 4260 4772 5112 5965 6390 7158 8520 9544 10737 11930 12780 14316 17895 21474 23860 25560 28632 35790 42948 47720 53685 71580 84703 85896 107370 143160 169406 214740 254109 338812 423515 429480 508218 677624 762327 847030 1016436 1270545 1524654 1694060 2032872 2541090 3049308 3388120 3811635 5082180 6098616 7623270 10164360 15246540 30493080