Search a number
-
+
30292000 = 25537573
BaseRepresentation
bin111001110001…
…1100000100000
32002222222210221
41303203200200
530223321000
63001132424
7515322604
oct163434040
962888727
1030292000
111610a912
12a18a114
136377b7b
144047504
1529d561a
hex1ce3820

30292000 has 48 divisors (see below), whose sum is σ = 74437272. Its totient is φ = 12115200.

The previous prime is 30291983. The next prime is 30292001. The reversal of 30292000 is 29203.

It can be written as a sum of positive squares in 4 ways, for example, as 19820304 + 10471696 = 4452^2 + 3236^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (30292001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214 + ... + 7786.

Almost surely, 230292000 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 30292000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37218636).

30292000 is an abundant number, since it is smaller than the sum of its proper divisors (44145272).

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

30292000 is an equidigital number, since it uses as much as digits as its factorization.

30292000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7598 (or 7580 counting only the distinct ones).

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

The square root of 30292000 is about 5503.8168574181. The cubic root of 30292000 is about 311.7281216888.

The spelling of 30292000 in words is "thirty million, two hundred ninety-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 7573 15146 30292 37865 60584 75730 121168 151460 189325 242336 302920 378650 605840 757300 946625 1211680 1514600 1893250 3029200 3786500 6058400 7573000 15146000 30292000