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1683644060 = 225759317643
BaseRepresentation
bin110010001011010…
…0101111010011100
311100100001222110102
41210112211322130
511422003102220
6435022200232
756502511160
oct14426457234
94310058412
101683644060
1179441177a
123aba23078
1320aa709b7
1411d868ca0
159cc22775
hex645a5e9c

1683644060 has 96 divisors (see below), whose sum is σ = 4128606720. Its totient is φ = 564795648.

The previous prime is 1683644029. The next prime is 1683644071. The reversal of 1683644060 is 604463861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2618099 + ... + 2618741.

It is an arithmetic number, because the mean of its divisors is an integer number (43006320).

Almost surely, 21683644060 is an apocalyptic number.

1683644060 is a gapful number since it is divisible by the number (10) 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 1683644060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064303360).

1683644060 is an abundant number, since it is smaller than the sum of its proper divisors (2444962660).

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

1683644060 is a wasteful number, since it uses less digits than its factorization.

1683644060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 1683644060 is about 41032.2319646397. The cubic root of 1683644060 is about 1189.6432939768.

The spelling of 1683644060 in words is "one billion, six hundred eighty-three million, six hundred forty-four thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 317 413 590 634 643 826 1180 1268 1286 1585 1652 2065 2219 2572 3170 3215 4130 4438 4501 6340 6430 8260 8876 9002 11095 12860 18004 18703 22190 22505 37406 37937 44380 45010 74812 75874 90020 93515 130921 151748 187030 189685 203831 261842 265559 374060 379370 407662 523684 531118 654605 758740 815324 1019155 1062236 1309210 1327795 1426817 2038310 2618420 2655590 2853634 4076620 5311180 5707268 7134085 12026029 14268170 24052058 28536340 48104116 60130145 84182203 120260290 168364406 240520580 336728812 420911015 841822030 1683644060