[go: up one dir, main page]

Search a number
-
+
1530984 = 233713701
BaseRepresentation
bin101110101110001101000
32212210010010
411311301220
5342442414
652451520
716004340
oct5656150
92783103
101530984
11956284
12619ba0
13417b10
142bbd20
15203959
hex175c68

1530984 has 64 divisors (see below), whose sum is σ = 4717440. Its totient is φ = 403200.

The previous prime is 1530967. The next prime is 1531021. The reversal of 1530984 is 4890351.

It is a congruent number.

It is an unprimeable number.

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, 1834 + ... + 2534.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

21530984 is an apocalyptic number.

1530984 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 1530984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358720).

1530984 is an abundant number, since it is smaller than the sum of its proper divisors (3186456).

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

1530984 is a wasteful number, since it uses less digits than its factorization.

1530984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1530984 is about 1237.3293821776. The cubic root of 1530984 is about 115.2542327596.

It can be divided in two parts, 15309 and 84, that multiplied together give a square (1285956 = 11342).

The spelling of 1530984 in words is "one million, five hundred thirty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 701 728 1092 1402 2103 2184 2804 4206 4907 5608 8412 9113 9814 14721 16824 18226 19628 27339 29442 36452 39256 54678 58884 63791 72904 109356 117768 127582 191373 218712 255164 382746 510328 765492 1530984