Search a number
-
+
681244830 = 23457137877
BaseRepresentation
bin101000100110101…
…111100010011110
31202110212211020000
4220212233202132
52343344313310
6151333235130
722611325350
oct5046574236
91673784200
10681244830
1131a5aa362
12170192aa6
13ab1a3766
14666950d0
153ec1a4c0
hex289af89e

681244830 has 160 divisors (see below), whose sum is σ = 2111161536. Its totient is φ = 154400256.

The previous prime is 681244819. The next prime is 681244831. The reversal of 681244830 is 38442186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681244831) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 776352 + ... + 777228.

Almost surely, 2681244830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681244830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055580768).

681244830 is an abundant number, since it is smaller than the sum of its proper divisors (1429916706).

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

681244830 is a wasteful number, since it uses less digits than its factorization.

681244830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 681244830 is about 26100.6672328506. The cubic root of 681244830 is about 879.9022059026.

The spelling of 681244830 in words is "six hundred eighty-one million, two hundred forty-four thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 137 162 189 210 270 274 315 378 405 411 567 630 685 810 822 877 945 959 1134 1233 1370 1754 1890 1918 2055 2466 2631 2835 2877 3699 4110 4385 4795 5262 5670 5754 6139 6165 7398 7893 8631 8770 9590 11097 12278 12330 13155 14385 15786 17262 18417 18495 22194 23679 25893 26310 28770 30695 36834 36990 39465 43155 47358 51786 55251 55485 61390 71037 77679 78930 86310 92085 110502 110970 118395 120149 129465 142074 155358 165753 184170 236790 240298 258930 276255 331506 355185 360447 388395 497259 552510 600745 710370 720894 776790 828765 841043 994518 1081341 1201490 1657530 1682086 1802235 2162682 2486295 2523129 3244023 3604470 4205215 4972590 5046258 5406705 6488046 7569387 8410430 9732069 10813410 12615645 15138774 16220115 19464138 22708161 25231290 32440230 37846935 45416322 48660345 68124483 75693870 97320690 113540805 136248966 227081610 340622415 681244830