Search a number
-
+
9778104 = 2333729223
BaseRepresentation
bin100101010011…
…001110111000
3200101210001000
4211103032320
510000344404
6545325000
7146053410
oct45231670
920353030
109778104
115579486
123336760
13204487b
141427640
15cd2339
hex9533b8

9778104 has 128 divisors (see below), whose sum is σ = 32256000. Its totient is φ = 2685312.

The previous prime is 9778091. The next prime is 9778121. The reversal of 9778104 is 4018779.

9778104 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×97781042 = 191222635669632, which contains 22 as substring.

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

9778104 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43737 + ... + 43959.

It is an arithmetic number, because the mean of its divisors is an integer number (252000).

Almost surely, 29778104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9778104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128000).

9778104 is an abundant number, since it is smaller than the sum of its proper divisors (22477896).

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

9778104 is a wasteful number, since it uses less digits than its factorization.

9778104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 9778104 is about 3126.9960025558. The cubic root of 9778104 is about 213.8380000846.

The spelling of 9778104 in words is "nine million, seven hundred seventy-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 84 87 108 116 126 168 174 189 203 216 223 232 252 261 348 378 406 446 504 522 609 669 696 756 783 812 892 1044 1218 1338 1512 1561 1566 1624 1784 1827 2007 2088 2436 2676 3122 3132 3654 4014 4683 4872 5352 5481 6021 6244 6264 6467 7308 8028 9366 10962 12042 12488 12934 14049 14616 16056 18732 19401 21924 24084 25868 28098 37464 38802 42147 43848 45269 48168 51736 56196 58203 77604 84294 90538 112392 116406 135807 155208 168588 174609 181076 232812 271614 337176 349218 362152 407421 465624 543228 698436 814842 1086456 1222263 1396872 1629684 2444526 3259368 4889052 9778104