Search a number
-
+
9890280 = 2332583331
BaseRepresentation
bin100101101110…
…100111101000
3200121110220200
4211232213220
510012442110
6551552200
7150031431
oct45564750
920543820
109890280
115645794
12338b660
13208394a
141456488
15d056c0
hex96e9e8

9890280 has 96 divisors (see below), whose sum is σ = 32628960. Its totient is φ = 2597760.

The previous prime is 9890263. The next prime is 9890297. The reversal of 9890280 is 820989.

It is an interprime number because it is at equal distance from previous prime (9890263) and next prime (9890297).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29715 + ... + 30045.

It is an arithmetic number, because the mean of its divisors is an integer number (339885).

Almost surely, 29890280 is an apocalyptic number.

9890280 is a gapful number since it is divisible by the number (90) 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 9890280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16314480).

9890280 is an abundant number, since it is smaller than the sum of its proper divisors (22738680).

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

9890280 is a wasteful number, since it uses less digits than its factorization.

9890280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 9890280 is about 3144.8815557982. The cubic root of 9890280 is about 214.6526209363.

The spelling of 9890280 in words is "nine million, eight hundred ninety thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 83 90 120 166 180 249 331 332 360 415 498 662 664 747 830 993 996 1245 1324 1494 1655 1660 1986 1992 2490 2648 2979 2988 3310 3320 3735 3972 4965 4980 5958 5976 6620 7470 7944 9930 9960 11916 13240 14895 14940 19860 23832 27473 29790 29880 39720 54946 59580 82419 109892 119160 137365 164838 219784 247257 274730 329676 412095 494514 549460 659352 824190 989028 1098920 1236285 1648380 1978056 2472570 3296760 4945140 9890280