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681535512 = 2333739199
BaseRepresentation
bin101000100111110…
…110100000011000
31202111102120222000
4220213312200120
52343433114022
6151343401000
722613646000
oct5047664030
91674376860
10681535512
1131a788799
121702b3160
13ab275b68
146672d000
153ec766ac
hex289f6818

681535512 has 128 divisors (see below), whose sum is σ = 2208000000. Its totient is φ = 194703264.

The previous prime is 681535511. The next prime is 681535541. The reversal of 681535512 is 215535186.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681535511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69489 + ... + 78687.

It is an arithmetic number, because the mean of its divisors is an integer number (17250000).

Almost surely, 2681535512 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 681535512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104000000).

681535512 is an abundant number, since it is smaller than the sum of its proper divisors (1526464488).

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

681535512 is a wasteful number, since it uses less digits than its factorization.

681535512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9235 (or 9211 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 681535512 is about 26106.2351173048. The cubic root of 681535512 is about 880.0273373050.

The spelling of 681535512 in words is "six hundred eighty-one million, five hundred thirty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 343 378 392 441 504 588 686 756 882 1029 1176 1323 1372 1512 1764 2058 2646 2744 3087 3528 4116 5292 6174 8232 9199 9261 10584 12348 18398 18522 24696 27597 36796 37044 55194 64393 73592 74088 82791 110388 128786 165582 193179 220776 248373 257572 331164 386358 450751 496746 515144 579537 662328 772716 901502 993492 1159074 1352253 1545432 1738611 1803004 1986984 2318148 2704506 3155257 3477222 3606008 4056759 4636296 5409012 6310514 6954444 8113518 9465771 10818024 12170277 12621028 13908888 16227036 18931542 24340554 25242056 28397313 32454072 37863084 48681108 56794626 75726168 85191939 97362216 113589252 170383878 227178504 340767756 681535512