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1683030672 = 2432311812083
BaseRepresentation
bin110010001010001…
…0000001010010000
311100021220211001100
41210110100022100
511421323440142
6435001104400
756464344651
oct14424201220
94307824040
101683030672
11794032944
123ab788100
1320a8b774b
1411d749528
159cb50b4c
hex64510290

1683030672 has 120 divisors (see below), whose sum is σ = 4891298048. Its totient is φ = 539654400.

The previous prime is 1683030667. The next prime is 1683030677. The reversal of 1683030672 is 2760303861.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1683030667) and next prime (1683030677).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1683030677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 806943 + ... + 809025.

Almost surely, 21683030672 is an apocalyptic number.

1683030672 is a gapful number since it is divisible by the number (12) 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 1683030672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445649024).

1683030672 is an abundant number, since it is smaller than the sum of its proper divisors (3208267376).

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

1683030672 is a wasteful number, since it uses less digits than its factorization.

1683030672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1683030672 is about 41024.7568182920. The cubic root of 1683030672 is about 1189.4988054884.

The spelling of 1683030672 in words is "one billion, six hundred eighty-three million, thirty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 181 186 248 279 362 372 496 543 558 724 744 1086 1116 1448 1488 1629 2083 2172 2232 2896 3258 4166 4344 4464 5611 6249 6516 8332 8688 11222 12498 13032 16664 16833 18747 22444 24996 26064 33328 33666 37494 44888 49992 50499 64573 67332 74988 89776 99984 100998 129146 134664 149976 193719 201996 258292 269328 299952 377023 387438 403992 516584 581157 754046 774876 807984 1033168 1131069 1162314 1508092 1549752 2262138 2324628 3016184 3099504 3393207 4524276 4649256 6032368 6786414 9048552 9298512 11687713 13572828 18097104 23375426 27145656 35063139 46750852 54291312 70126278 93501704 105189417 140252556 187003408 210378834 280505112 420757668 561010224 841515336 1683030672