Search a number
-
+
1230684 = 223731323
BaseRepresentation
bin100101100011101011100
32022112011220
410230131130
5303340214
642213340
713314000
oct4543534
92275156
101230684
117706a4
124b4250
13341220
14240700
151949a9
hex12c75c

1230684 has 96 divisors (see below), whose sum is σ = 3763200. Its totient is φ = 310464.

The previous prime is 1230667. The next prime is 1230689. The reversal of 1230684 is 4860321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230689) 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 31 ways as a sum of consecutive naturals, for example, 53497 + ... + 53519.

It is an arithmetic number, because the mean of its divisors is an integer number (39200).

21230684 is an apocalyptic number.

1230684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881600).

1230684 is an abundant number, since it is smaller than the sum of its proper divisors (2532516).

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

1230684 is a wasteful number, since it uses less digits than its factorization.

1230684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1230684 is about 1109.3619787968. The cubic root of 1230684 is about 107.1639841512.

The spelling of 1230684 in words is "one million, two hundred thirty thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 49 52 69 78 84 91 92 98 138 147 156 161 182 196 273 276 294 299 322 343 364 483 546 588 598 637 644 686 897 966 1029 1092 1127 1196 1274 1372 1794 1911 1932 2058 2093 2254 2548 3381 3588 3822 4116 4186 4459 4508 6279 6762 7644 7889 8372 8918 12558 13377 13524 14651 15778 17836 23667 25116 26754 29302 31556 43953 47334 53508 58604 87906 94668 102557 175812 205114 307671 410228 615342 1230684