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681969780 = 22355236101
BaseRepresentation
bin101000101001100…
…000100001110100
31202112020122200000
4220221200201310
52344041013110
6151400551300
722620435042
oct5051404164
91675218600
10681969780
1131aa54a98
12170482530
13ab39871b
1466803392
153ed101c0
hex28a60874

681969780 has 144 divisors (see below), whose sum is σ = 2238897024. Its totient is φ = 173923200.

The previous prime is 681969767. The next prime is 681969781. The reversal of 681969780 is 87969186.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681969781) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 108730 + ... + 114830.

It is an arithmetic number, because the mean of its divisors is an integer number (15547896).

Almost surely, 2681969780 is an apocalyptic number.

681969780 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681969780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119448512).

681969780 is an abundant number, since it is smaller than the sum of its proper divisors (1556927244).

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

681969780 is a wasteful number, since it uses less digits than its factorization.

681969780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6148 (or 6134 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 681969780 is about 26114.5511161881. The cubic root of 681969780 is about 880.2142126585.

The spelling of 681969780 in words is "six hundred eighty-one million, nine hundred sixty-nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 243 270 276 324 345 405 414 460 486 540 621 690 810 828 972 1035 1215 1242 1380 1620 1863 2070 2430 2484 3105 3726 4140 4860 5589 6101 6210 7452 9315 11178 12202 12420 18303 18630 22356 24404 27945 30505 36606 37260 54909 55890 61010 73212 91515 109818 111780 122020 140323 164727 183030 219636 274545 280646 329454 366060 420969 494181 549090 561292 658908 701615 823635 841938 988362 1098180 1262907 1403230 1482543 1647270 1683876 1976724 2104845 2470905 2525814 2806460 2965086 3294540 3788721 4209690 4941810 5051628 5930172 6314535 7412715 7577442 8419380 9883620 11366163 12629070 14825430 15154884 18943605 22732326 25258140 29650860 34098489 37887210 45464652 56830815 68196978 75774420 113661630 136393956 170492445 227323260 340984890 681969780