[go: up one dir, main page]

Search a number
-
+
9796680 = 2333547193
BaseRepresentation
bin100101010111…
…110001001000
3200102201112000
4211113301020
510001443210
6545551000
7146161515
oct45276110
920381460
109796680
115591433
123345460
13205016a
14143030c
15cd7ac0
hex957c48

9796680 has 128 divisors (see below), whose sum is σ = 33523200. Its totient is φ = 2543616.

The previous prime is 9796667. The next prime is 9796687. The reversal of 9796680 is 866979.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9796687) 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 31 ways as a sum of consecutive naturals, for example, 50664 + ... + 50856.

It is an arithmetic number, because the mean of its divisors is an integer number (261900).

Almost surely, 29796680 is an apocalyptic number.

9796680 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 9796680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16761600).

9796680 is an abundant number, since it is smaller than the sum of its proper divisors (23726520).

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

9796680 is a wasteful number, since it uses less digits than its factorization.

9796680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 9796680 is about 3129.9648560327. The cubic root of 9796680 is about 213.9733276799.

The spelling of 9796680 in words is "nine million, seven hundred ninety-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 47 54 60 72 90 94 108 120 135 141 180 188 193 216 235 270 282 360 376 386 423 470 540 564 579 705 772 846 940 965 1080 1128 1158 1269 1410 1544 1692 1737 1880 1930 2115 2316 2538 2820 2895 3384 3474 3860 4230 4632 5076 5211 5640 5790 6345 6948 7720 8460 8685 9071 10152 10422 11580 12690 13896 16920 17370 18142 20844 23160 25380 26055 27213 34740 36284 41688 45355 50760 52110 54426 69480 72568 81639 90710 104220 108852 136065 163278 181420 208440 217704 244917 272130 326556 362840 408195 489834 544260 653112 816390 979668 1088520 1224585 1632780 1959336 2449170 3265560 4898340 9796680