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681796440 = 233451316187
BaseRepresentation
bin101000101000110…
…110001101011000
31202111220211220000
4220220312031120
52344014441230
6151353133000
722616113503
oct5050661530
91674824800
10681796440
1131a946836
121703ba160
13ab337860
146679a13a
153ecc8b60
hex28a36358

681796440 has 160 divisors (see below), whose sum is σ = 2468022480. Its totient is φ = 167816448.

The previous prime is 681796397. The next prime is 681796481. The reversal of 681796440 is 44697186.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 34027 + ... + 50213.

Almost surely, 2681796440 is an apocalyptic number.

681796440 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 681796440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234011240).

681796440 is an abundant number, since it is smaller than the sum of its proper divisors (1786226040).

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

681796440 is a wasteful number, since it uses less digits than its factorization.

681796440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16223 (or 16210 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 681796440 is about 26111.2320659137. The cubic root of 681796440 is about 880.1396300475.

The spelling of 681796440 in words is "six hundred eighty-one million, seven hundred ninety-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 2106 2340 2808 3240 3510 4212 4680 5265 7020 8424 10530 14040 16187 21060 32374 42120 48561 64748 80935 97122 129496 145683 161870 194244 210431 242805 291366 323740 388488 420862 437049 485610 582732 631293 647480 728415 841724 874098 971220 1052155 1165464 1262586 1311147 1456830 1683448 1748196 1893879 1942440 2104310 2185245 2525172 2622294 2913660 3156465 3496392 3787758 4208620 4370490 5050344 5244588 5681637 5827320 6312930 6555735 7575516 8417240 8740980 9469395 10489176 11363274 12625860 13111470 15151032 17044911 17481960 18938790 22726548 25251720 26222940 28408185 34089822 37877580 45453096 52445880 56816370 68179644 75755160 85224555 113632740 136359288 170449110 227265480 340898220 681796440