Search a number
-
+
30894600 = 233521131151
BaseRepresentation
bin111010111011…
…0101000001000
32011010121102110
41311312220020
530402111400
63022102320
7523412502
oct165665010
964117373
1030894600
1116491630
12a41a9a0
136529239
144162d72
152aa3e50
hex1d76a08

30894600 has 192 divisors, whose sum is σ = 108564480. Its totient is φ = 7200000.

The previous prime is 30894553. The next prime is 30894613. The reversal of 30894600 is 649803.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204525 + ... + 204675.

It is an arithmetic number, because the mean of its divisors is an integer number (565440).

Almost surely, 230894600 is an apocalyptic number.

30894600 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 30894600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54282240).

30894600 is an abundant number, since it is smaller than the sum of its proper divisors (77669880).

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

30894600 is a wasteful number, since it uses less digits than its factorization.

30894600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 30894600 is about 5558.2911042874. The cubic root of 30894600 is about 313.7816378418.

The spelling of 30894600 in words is "thirty million, eight hundred ninety-four thousand, six hundred".