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1230984 = 233341139
BaseRepresentation
bin100101100100010001000
32022112121000
410230202020
5303342414
642215000
713314606
oct4544210
92275530
101230984
11770947
124b4460
133413c1
14240876
15194b09
hex12c888

1230984 has 64 divisors (see below), whose sum is σ = 3528000. Its totient is φ = 397440.

The previous prime is 1230967. The next prime is 1230997. The reversal of 1230984 is 4890321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8787 + ... + 8925.

It is an arithmetic number, because the mean of its divisors is an integer number (55125).

21230984 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 1230984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764000).

1230984 is an abundant number, since it is smaller than the sum of its proper divisors (2297016).

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

1230984 is a wasteful number, since it uses less digits than its factorization.

1230984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1230984 is about 1109.4971834124. The cubic root of 1230984 is about 107.1726911205.

The spelling of 1230984 in words is "one million, two hundred thirty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 139 164 216 246 278 328 369 417 492 556 738 834 984 1107 1112 1251 1476 1668 2214 2502 2952 3336 3753 4428 5004 5699 7506 8856 10008 11398 15012 17097 22796 30024 34194 45592 51291 68388 102582 136776 153873 205164 307746 410328 615492 1230984