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681506364 = 2237112193529
BaseRepresentation
bin101000100111101…
…111011000111100
31202111101002222110
4220213233120330
52343431200424
6151343014020
722613465010
oct5047573074
91674332873
10681506364
1131a768900
1217029a310
13ab265806
1466722540
153ec6cc29
hex289ef63c

681506364 has 144 divisors (see below), whose sum is σ = 2103315200. Its totient is φ = 167650560.

The previous prime is 681506341. The next prime is 681506369. The reversal of 681506364 is 463605186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681506369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191352 + ... + 194880.

Almost surely, 2681506364 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 681506364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051657600).

681506364 is an abundant number, since it is smaller than the sum of its proper divisors (1421808836).

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

681506364 is a wasteful number, since it uses less digits than its factorization.

681506364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 681506364 is about 26105.6768538952. The cubic root of 681506364 is about 880.0147914180.

The spelling of 681506364 in words is "six hundred eighty-one million, five hundred six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 121 132 133 154 209 228 231 242 266 308 363 399 418 462 484 532 627 726 798 836 847 924 1254 1452 1463 1596 1694 2299 2508 2541 2926 3388 3529 4389 4598 5082 5852 6897 7058 8778 9196 10164 10587 13794 14116 16093 17556 21174 24703 27588 32186 38819 42348 48279 49406 64372 67051 74109 77638 96558 98812 116457 134102 148218 155276 193116 201153 232914 268204 271733 296436 402306 427009 465828 469357 543466 737561 804612 815199 854018 938714 1086932 1281027 1408071 1475122 1630398 1708036 1877428 2212683 2562054 2816142 2950244 2989063 3260796 4425366 5124108 5162927 5632284 5978126 8113171 8850732 8967189 10325854 11956252 15488781 16226342 17934378 20651708 24339513 30977562 32452684 35868756 48679026 56792197 61955124 97358052 113584394 170376591 227168788 340753182 681506364