Search a number
-
+
9681300 = 22325231347
BaseRepresentation
bin100100111011…
…100110010100
3200012212020200
4210323212110
54434300200
6543300500
7145201236
oct44734624
920185220
109681300
115512782
1232aa730
13200c7a5
141400256
15cb3800
hex93b994

9681300 has 108 divisors (see below), whose sum is σ = 31414656. Its totient is φ = 2491200.

The previous prime is 9681283. The next prime is 9681307. The reversal of 9681300 is 31869.

9681300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9681307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27727 + ... + 28073.

Almost surely, 29681300 is an apocalyptic number.

9681300 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 9681300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15707328).

9681300 is an abundant number, since it is smaller than the sum of its proper divisors (21733356).

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

9681300 is a wasteful number, since it uses less digits than its factorization.

9681300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9681300 is about 3111.4787481196. The cubic root of 9681300 is about 213.1299874422.

The spelling of 9681300 in words is "nine million, six hundred eighty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 31 36 45 50 60 62 75 90 93 100 124 150 155 180 186 225 279 300 310 347 372 450 465 558 620 694 775 900 930 1041 1116 1388 1395 1550 1735 1860 2082 2325 2790 3100 3123 3470 4164 4650 5205 5580 6246 6940 6975 8675 9300 10410 10757 12492 13950 15615 17350 20820 21514 26025 27900 31230 32271 34700 43028 52050 53785 62460 64542 78075 96813 104100 107570 129084 156150 161355 193626 215140 268925 312300 322710 387252 484065 537850 645420 806775 968130 1075700 1613550 1936260 2420325 3227100 4840650 9681300