Search a number
-
+
30487680 = 273256779
BaseRepresentation
bin111010001001…
…1010010000000
32010100221020100
41310103102000
530301101210
63005242400
7520066236
oct164232200
963327210
1030487680
1116233933
12a263400
136415c62
144098956
152a235c0
hex1d13480

30487680 has 192 divisors, whose sum is σ = 108201600. Its totient is φ = 7907328.

The previous prime is 30487679. The next prime is 30487711. The reversal of 30487680 is 8678403.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 385881 + ... + 385959.

It is an arithmetic number, because the mean of its divisors is an integer number (563550).

Almost surely, 230487680 is an apocalyptic number.

30487680 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 30487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54100800).

30487680 is an abundant number, since it is smaller than the sum of its proper divisors (77713920).

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

30487680 is a wasteful number, since it uses less digits than its factorization.

30487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 30487680 is about 5521.5649955425. The cubic root of 30487680 is about 312.3979143883.

The spelling of 30487680 in words is "thirty million, four hundred eighty-seven thousand, six hundred eighty".