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1681794072 = 2332723131523
BaseRepresentation
bin110010000111110…
…0010010000011000
311100012120222202100
41210033202100120
511421014402242
6434514403400
756451004500
oct14417422030
94305528670
101681794072
11793368862
123ab290560
1320a57392a
1411d506a00
159c9a954c
hex643e2418

1681794072 has 144 divisors (see below), whose sum is σ = 5318927640. Its totient is φ = 478662912.

The previous prime is 1681794067. The next prime is 1681794073. The reversal of 1681794072 is 2704971861.

It is a happy number.

It is a super-2 number, since 2×16817940722 = 5656862601228682368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681794073) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1103503 + ... + 1105025.

Almost surely, 21681794072 is an apocalyptic number.

1681794072 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 1681794072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659463820).

1681794072 is an abundant number, since it is smaller than the sum of its proper divisors (3637133568).

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

1681794072 is a wasteful number, since it uses less digits than its factorization.

1681794072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1681794072 is about 41009.6826615374. The cubic root of 1681794072 is about 1189.2074076253.

It can be divided in two parts, 16817 and 94072, that added together give a square (110889 = 3332).

The spelling of 1681794072 in words is "one billion, six hundred eighty-one million, seven hundred ninety-four thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 313 392 441 504 588 626 882 939 1176 1252 1523 1764 1878 2191 2504 2817 3046 3528 3756 4382 4569 5634 6092 6573 7512 8764 9138 10661 11268 12184 13146 13707 15337 17528 18276 19719 21322 22536 26292 27414 30674 31983 36552 39438 42644 46011 52584 54828 61348 63966 74627 78876 85288 92022 95949 109656 122696 127932 138033 149254 157752 184044 191898 223881 255864 276066 298508 368088 383796 447762 476699 552132 597016 671643 767592 895524 953398 1104264 1343286 1430097 1791048 1906796 2686572 2860194 3336893 3813592 4290291 5373144 5720388 6673786 8580582 10010679 11440776 13347572 17161164 20021358 23358251 26695144 30032037 34322328 40042716 46716502 60064074 70074753 80085432 93433004 120128148 140149506 186866008 210224259 240256296 280299012 420448518 560598024 840897036 1681794072