Search a number
-
+
9946260 = 22335113163
BaseRepresentation
bin100101111100…
…010010010100
3200201022201000
4211330102110
510021240020
6553103300
7150353562
oct45742224
920638630
109946260
115683855
1233b7b30
1320a327c
14146ca32
15d17090
hex97c494

9946260 has 96 divisors (see below), whose sum is σ = 31409280. Its totient is φ = 2612736.

The previous prime is 9946247. The next prime is 9946271. The reversal of 9946260 is 626499.

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

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 31 ways as a sum of consecutive naturals, for example, 60939 + ... + 61101.

It is an arithmetic number, because the mean of its divisors is an integer number (327180).

Almost surely, 29946260 is an apocalyptic number.

9946260 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 9946260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15704640).

9946260 is an abundant number, since it is smaller than the sum of its proper divisors (21463020).

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

9946260 is a wasteful number, since it uses less digits than its factorization.

9946260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9946260 is about 3153.7691735446. The cubic root of 9946260 is about 215.0568445331.

The spelling of 9946260 in words is "nine million, nine hundred forty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 113 135 163 180 226 270 326 339 452 489 540 565 652 678 815 978 1017 1130 1356 1467 1630 1695 1956 2034 2260 2445 2934 3051 3260 3390 4068 4401 4890 5085 5868 6102 6780 7335 8802 9780 10170 12204 14670 15255 17604 18419 20340 22005 29340 30510 36838 44010 55257 61020 73676 88020 92095 110514 165771 184190 221028 276285 331542 368380 497313 552570 663084 828855 994626 1105140 1657710 1989252 2486565 3315420 4973130 9946260