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2830152 = 2331347193
BaseRepresentation
bin1010110010111101001000
312022210020110
422302331020
51211031102
6140354320
733025113
oct12627510
95283213
102830152
111663376
12b459a0
13781260
1453957a
153ad86c
hex2b2f48

2830152 has 64 divisors (see below), whose sum is σ = 7822080. Its totient is φ = 847872.

The previous prime is 2830151. The next prime is 2830153. The reversal of 2830152 is 2510382.

2830152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2830151) and next prime (2830153).

It is not an unprimeable number, because it can be changed into a prime (2830151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14568 + ... + 14760.

It is an arithmetic number, because the mean of its divisors is an integer number (122220).

22830152 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 2830152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911040).

2830152 is an abundant number, since it is smaller than the sum of its proper divisors (4991928).

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

2830152 is a wasteful number, since it uses less digits than its factorization.

2830152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2830152 is about 1682.3055608301. The cubic root of 2830152 is about 141.4500983164.

The spelling of 2830152 in words is "two million, eight hundred thirty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 188 193 282 312 376 386 564 579 611 772 1128 1158 1222 1544 1833 2316 2444 2509 3666 4632 4888 5018 7332 7527 9071 10036 14664 15054 18142 20072 27213 30108 36284 54426 60216 72568 108852 117923 217704 235846 353769 471692 707538 943384 1415076 2830152