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1704681132 = 2237112963617
BaseRepresentation
bin110010110011011…
…0101111010101100
311101210122202220020
41211212311322230
511442344244012
6441053122140
760146356560
oct14546657254
94353582806
101704681132
117a5280190
123b6a89350
1321222817b
141225836a0
159e9caa8c
hex659b5eac

1704681132 has 96 divisors (see below), whose sum is σ = 5130155520. Its totient is φ = 427499520.

The previous prime is 1704681119. The next prime is 1704681151. The reversal of 1704681132 is 2311864071.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1704681093 and 1704681102.

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, 5013 + ... + 58604.

It is an arithmetic number, because the mean of its divisors is an integer number (53439120).

Almost surely, 21704681132 is an apocalyptic number.

1704681132 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 1704681132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565077760).

1704681132 is an abundant number, since it is smaller than the sum of its proper divisors (3425474388).

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

1704681132 is a wasteful number, since it uses less digits than its factorization.

1704681132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63671 (or 63669 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1704681132 is about 41287.7842951157. The cubic root of 1704681132 is about 1194.5776492201.

The spelling of 1704681132 in words is "one billion, seven hundred four million, six hundred eighty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 29 33 42 44 58 66 77 84 87 116 132 154 174 203 231 308 319 348 406 462 609 638 812 924 957 1218 1276 1914 2233 2436 3828 4466 6699 8932 13398 26796 63617 127234 190851 254468 381702 445319 699787 763404 890638 1335957 1399574 1781276 1844893 2099361 2671914 2799148 3689786 4198722 4898509 5343828 5534679 7379572 8397444 9797018 11069358 12914251 14695527 19594036 20293823 22138716 25828502 29391054 38742753 40587646 51657004 58782108 60881469 77485506 81175292 121762938 142056761 154971012 243525876 284113522 426170283 568227044 852340566 1704681132