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686122272 = 25331126563
BaseRepresentation
bin101000111001010…
…110010100100000
31202211001121211000
4220321112110200
52401121403042
6152025552000
723000641323
oct5071262440
91684047730
10686122272
11322330900
12171945600
13ac1c0814
14671a47ba
154038074c
hex28e56520

686122272 has 144 divisors (see below), whose sum is σ = 2199990240. Its totient is φ = 207884160.

The previous prime is 686122247. The next prime is 686122273. The reversal of 686122272 is 272221686.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (686122273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101263 + ... + 107825.

It is an arithmetic number, because the mean of its divisors is an integer number (15277710).

Almost surely, 2686122272 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 686122272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099995120).

686122272 is an abundant number, since it is smaller than the sum of its proper divisors (1513867968).

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

686122272 is a wasteful number, since it uses less digits than its factorization.

686122272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6604 (or 6579 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 686122272 is about 26193.9357867427. The cubic root of 686122272 is about 881.9971308158.

The spelling of 686122272 in words is "six hundred eighty-six million, one hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 121 132 144 176 198 216 242 264 288 297 352 363 396 432 484 528 594 726 792 864 968 1056 1089 1188 1452 1584 1936 2178 2376 2904 3168 3267 3872 4356 4752 5808 6534 6563 8712 9504 11616 13068 13126 17424 19689 26136 26252 34848 39378 52272 52504 59067 72193 78756 104544 105008 118134 144386 157512 177201 210016 216579 236268 288772 315024 354402 433158 472536 577544 630048 649737 708804 794123 866316 945072 1155088 1299474 1417608 1588246 1732632 1890144 1949211 2310176 2382369 2598948 2835216 3176492 3465264 3898422 4764738 5197896 5670432 6352984 6930528 7147107 7796844 9529476 10395792 12705968 14294214 15593688 19058952 20791584 21441321 25411936 28588428 31187376 38117904 42882642 57176856 62374752 76235808 85765284 114353712 171530568 228707424 343061136 686122272