Search a number
-
+
1030680 = 233257409
BaseRepresentation
bin11111011101000011000
31221100211100
43323220120
5230440210
634031400
711521620
oct3735030
91840740
101030680
11644402
12418560
132a1191
141cb880
151555c0
hexfba18

1030680 has 96 divisors (see below), whose sum is σ = 3837600. Its totient is φ = 235008.

The previous prime is 1030643. The next prime is 1030681. The reversal of 1030680 is 860301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030681) 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 23 ways as a sum of consecutive naturals, for example, 2316 + ... + 2724.

It is an arithmetic number, because the mean of its divisors is an integer number (39975).

21030680 is an apocalyptic number.

1030680 is a gapful number since it is divisible by the number (10) 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 1030680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918800).

1030680 is an abundant number, since it is smaller than the sum of its proper divisors (2806920).

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

1030680 is a wasteful number, since it uses less digits than its factorization.

1030680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1030680 is about 1015.2241131888. The cubic root of 1030680 is about 101.0123828885.

Adding to 1030680 its reverse (860301), we get a palindrome (1890981).

The spelling of 1030680 in words is "one million, thirty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 409 420 504 630 818 840 1227 1260 1636 2045 2454 2520 2863 3272 3681 4090 4908 5726 6135 7362 8180 8589 9816 11452 12270 14315 14724 16360 17178 18405 22904 24540 25767 28630 29448 34356 36810 42945 49080 51534 57260 68712 73620 85890 103068 114520 128835 147240 171780 206136 257670 343560 515340 1030680