Search a number
-
+
30237100 = 2252674513
BaseRepresentation
bin111001101011…
…0000110101100
32002220012111121
41303112012230
530220041400
63000030324
7515003545
oct163260654
962805447
1030237100
1116082643
12a1623a4
136358b9a
1440314cc
1529c421a
hex1cd61ac

30237100 has 36 divisors (see below), whose sum is σ = 66608584. Its totient is φ = 11911680.

The previous prime is 30237091. The next prime is 30237139. The reversal of 30237100 is 173203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4444 + ... + 8956.

Almost surely, 230237100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30237100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33304292).

30237100 is an abundant number, since it is smaller than the sum of its proper divisors (36371484).

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

30237100 is a wasteful number, since it uses less digits than its factorization.

30237100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4594 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 30237100 is about 5498.8271476743. The cubic root of 30237100 is about 311.5396866439.

The spelling of 30237100 in words is "thirty million, two hundred thirty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 1340 1675 3350 4513 6700 9026 18052 22565 45130 90260 112825 225650 302371 451300 604742 1209484 1511855 3023710 6047420 7559275 15118550 30237100