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30920200 = 2352532917
BaseRepresentation
bin111010111110…
…0111000001000
32011011220112121
41311330320020
530403421300
63022421024
7523550233
oct165747010
964156477
1030920200
11164a9893
12a431774
136537a9c
14416c41a
152aab81a
hex1d7ce08

30920200 has 48 divisors (see below), whose sum is σ = 73270980. Its totient is φ = 12130560.

The previous prime is 30920179. The next prime is 30920207. The reversal of 30920200 is 202903.

It can be written as a sum of positive squares in 6 ways, for example, as 25341156 + 5579044 = 5034^2 + 2362^2 .

It is not an unprimeable number, because it can be changed into a prime (30920207) by changing a digit.

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, 9142 + ... + 12058.

Almost surely, 230920200 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 30920200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36635490).

30920200 is an abundant number, since it is smaller than the sum of its proper divisors (42350780).

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

30920200 is a wasteful number, since it uses less digits than its factorization.

30920200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 30920200 is about 5560.5934935041. The cubic root of 30920200 is about 313.8682828889.

The spelling of 30920200 in words is "thirty million, nine hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 2917 5300 5834 10600 11668 14585 23336 29170 58340 72925 116680 145850 154601 291700 309202 583400 618404 773005 1236808 1546010 3092020 3865025 6184040 7730050 15460100 30920200