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210680000 = 265423229
BaseRepresentation
bin11001000111010…
…11100011000000
3112200102122121222
430203223203000
5412413230000
632523334212
75135515256
oct1443534300
9480378558
10210680000
11a8a18003
125a681368
133485652b
141dda25d6
1513768a85
hexc8eb8c0

210680000 has 140 divisors (see below), whose sum is σ = 547512240. Its totient is φ = 80256000.

The previous prime is 210679981. The next prime is 210680021. The reversal of 210680000 is 86012.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 919886 + ... + 920114.

Almost surely, 2210680000 is an apocalyptic number.

210680000 is a gapful number since it is divisible by the number (20) 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 210680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273756120).

210680000 is an abundant number, since it is smaller than the sum of its proper divisors (336832240).

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

210680000 is an equidigital number, since it uses as much as digits as its factorization.

210680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 210680000 is about 14514.8200126629. The cubic root of 210680000 is about 595.0330702143.

The spelling of 210680000 in words is "two hundred ten million, six hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 160 184 200 229 230 250 320 368 400 458 460 500 575 625 736 800 916 920 1000 1145 1150 1250 1472 1600 1832 1840 2000 2290 2300 2500 2875 3664 3680 4000 4580 4600 5000 5267 5725 5750 7328 7360 8000 9160 9200 10000 10534 11450 11500 14375 14656 18320 18400 20000 21068 22900 23000 26335 28625 28750 36640 36800 40000 42136 45800 46000 52670 57250 57500 73280 84272 91600 92000 105340 114500 115000 131675 143125 168544 183200 184000 210680 229000 230000 263350 286250 337088 366400 421360 458000 460000 526700 572500 658375 842720 916000 920000 1053400 1145000 1316750 1685440 1832000 2106800 2290000 2633500 3291875 4213600 4580000 5267000 6583750 8427200 9160000 10534000 13167500 21068000 26335000 42136000 52670000 105340000 210680000