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830148 = 2231119331
BaseRepresentation
bin11001010101011000100
31120011202020
43022223010
5203031043
625443140
710025154
oct3125304
91504666
10830148
11517780
123404b0
13230b17
14178764
15115e83
hexcaac4

830148 has 48 divisors (see below), whose sum is σ = 2231040. Its totient is φ = 237600.

The previous prime is 830143. The next prime is 830153. The reversal of 830148 is 841038.

It is an interprime number because it is at equal distance from previous prime (830143) and next prime (830153).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 830148.

It is not an unprimeable number, because it can be changed into a prime (830143) by changing a digit.

830148 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2343 + ... + 2673.

It is an arithmetic number, because the mean of its divisors is an integer number (46480).

2830148 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 830148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115520).

830148 is an abundant number, since it is smaller than the sum of its proper divisors (1400892).

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

830148 is a wasteful number, since it uses less digits than its factorization.

830148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 830148 is about 911.1245798462. The cubic root of 830148 is about 93.9835492564.

The spelling of 830148 in words is "eight hundred thirty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 331 418 627 662 836 993 1254 1324 1986 2508 3641 3972 6289 7282 10923 12578 14564 18867 21846 25156 37734 43692 69179 75468 138358 207537 276716 415074 830148