Search a number
-
+
681990320 = 245114367269
BaseRepresentation
bin101000101001100…
…101100010110000
31202112021200211202
4220221211202300
52344042142240
6151401230332
722620551654
oct5051454260
91675250752
10681990320
1131aa69470
121704923a8
13ab3a4b8b
146680aa64
153ed16315
hex28a658b0

681990320 has 160 divisors (see below), whose sum is σ = 1803098880. Its totient is φ = 237726720.

The previous prime is 681990311. The next prime is 681990329. The reversal of 681990320 is 23099186.

It is an interprime number because it is at equal distance from previous prime (681990311) and next prime (681990329).

It is a super-2 number, since 2×6819903202 = 930221593147404800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (681990329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2535146 + ... + 2535414.

It is an arithmetic number, because the mean of its divisors is an integer number (11269368).

Almost surely, 2681990320 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 681990320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901549440).

681990320 is an abundant number, since it is smaller than the sum of its proper divisors (1121108560).

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

681990320 is a wasteful number, since it uses less digits than its factorization.

681990320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 681990320 is about 26114.9443805649. The cubic root of 681990320 is about 880.2230495205.

The spelling of 681990320 in words is "six hundred eighty-one million, nine hundred ninety thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 67 80 86 88 110 134 172 176 215 220 268 269 335 344 430 440 473 536 538 670 688 737 860 880 946 1072 1076 1340 1345 1474 1720 1892 2152 2365 2680 2690 2881 2948 2959 3440 3685 3784 4304 4730 5360 5380 5762 5896 5918 7370 7568 9460 10760 11524 11567 11792 11836 14405 14740 14795 18023 18920 21520 23048 23134 23672 28810 29480 29590 31691 36046 37840 46096 46268 47344 57620 57835 58960 59180 63382 72092 90115 92536 115240 115670 118360 126764 127237 144184 158455 180230 185072 198253 230480 231340 236720 253528 254474 288368 316910 360460 396506 462680 507056 508948 633820 636185 720920 774989 793012 925360 991265 1017896 1267640 1272370 1441840 1549978 1586024 1982530 2035792 2535280 2544740 3099956 3172048 3874945 3965060 5089480 6199912 7749890 7930120 8524879 10178960 12399824 15499780 15860240 17049758 30999560 34099516 42624395 61999120 68199032 85248790 136398064 170497580 340995160 681990320