Search a number
-
+
30940080 = 2435137941
BaseRepresentation
bin111011000000…
…1101110110000
32011012220210220
41312001232300
530410040310
63023053040
7523662213
oct166015660
964186726
1030940080
1116512816
12a441180
136543b52
14417577a
152ab2670
hex1d81bb0

30940080 has 80 divisors (see below), whose sum is σ = 96717024. Its totient is φ = 8181760.

The previous prime is 30940079. The next prime is 30940093. The reversal of 30940080 is 8004903.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 30940080.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32410 + ... + 33350.

Almost surely, 230940080 is an apocalyptic number.

30940080 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 30940080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48358512).

30940080 is an abundant number, since it is smaller than the sum of its proper divisors (65776944).

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

30940080 is a wasteful number, since it uses less digits than its factorization.

30940080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 30940080 is about 5562.3807852394. The cubic root of 30940080 is about 313.9355351995.

Adding to 30940080 its reverse (8004903), we get a palindrome (38944983).

The spelling of 30940080 in words is "thirty million, nine hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 411 548 685 822 941 1096 1370 1644 1882 2055 2192 2740 2823 3288 3764 4110 4705 5480 5646 6576 7528 8220 9410 10960 11292 14115 15056 16440 18820 22584 28230 32880 37640 45168 56460 75280 112920 128917 225840 257834 386751 515668 644585 773502 1031336 1289170 1547004 1933755 2062672 2578340 3094008 3867510 5156680 6188016 7735020 10313360 15470040 30940080