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681768192 = 2837294373
BaseRepresentation
bin101000101000101…
…111010100000000
31202111212102010210
4220220233110000
52344013040232
6151352354120
722615635240
oct5050572400
91674772123
10681768192
1131a927596
121703a5940
13ab327a41
146678db20
153ecc05cc
hex28a2f500

681768192 has 144 divisors (see below), whose sum is σ = 2145709440. Its totient is φ = 188030976.

The previous prime is 681768181. The next prime is 681768223. The reversal of 681768192 is 291867186.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153718 + ... + 158090.

It is an arithmetic number, because the mean of its divisors is an integer number (14900760).

Almost surely, 2681768192 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 681768192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072854720).

681768192 is an abundant number, since it is smaller than the sum of its proper divisors (1463941248).

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

681768192 is a wasteful number, since it uses less digits than its factorization.

681768192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4428 (or 4414 counting only the distinct ones).

The product of its digits is 290304, while the sum is 48.

The square root of 681768192 is about 26110.6911436676. The cubic root of 681768192 is about 880.1274746464.

The spelling of 681768192 in words is "six hundred eighty-one million, seven hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 256 336 348 384 406 448 464 609 672 696 768 812 896 928 1218 1344 1392 1624 1792 1856 2436 2688 2784 3248 3712 4373 4872 5376 5568 6496 7424 8746 9744 11136 12992 13119 17492 19488 22272 25984 26238 30611 34984 38976 51968 52476 61222 69968 77952 91833 104952 122444 126817 139936 155904 183666 209904 244888 253634 279872 367332 380451 419808 489776 507268 559744 734664 760902 839616 887719 979552 1014536 1119488 1469328 1521804 1679232 1775438 1959104 2029072 2663157 2938656 3043608 3358464 3550876 3918208 4058144 5326314 5877312 6087216 7101752 7836416 8116288 10652628 11754624 12174432 14203504 16232576 21305256 23509248 24348864 28407008 32465152 42610512 48697728 56814016 85221024 97395456 113628032 170442048 227256064 340884096 681768192