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1681872 = 24337947
BaseRepresentation
bin110011010100111010000
310011110002120
412122213100
5412304442
6100014240
720203263
oct6324720
93143076
101681872
11a49685
12691380
1346b6ba
1431acda
152334ec
hex19a9d0

1681872 has 40 divisors (see below), whose sum is σ = 4466976. Its totient is φ = 544896.

The previous prime is 1681871. The next prime is 1681873. The reversal of 1681872 is 2781861.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1681871) and next prime (1681873).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1303 + ... + 2249.

21681872 is an apocalyptic number.

1681872 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 1681872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233488).

1681872 is an abundant number, since it is smaller than the sum of its proper divisors (2785104).

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

1681872 is a wasteful number, since it uses less digits than its factorization.

1681872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 989 counting only the distinct ones).

The product of its digits is 5376, while the sum is 33.

The square root of 1681872 is about 1296.8700783039. The cubic root of 1681872 is about 118.9225775138.

The spelling of 1681872 in words is "one million, six hundred eighty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 947 1776 1894 2841 3788 5682 7576 11364 15152 22728 35039 45456 70078 105117 140156 210234 280312 420468 560624 840936 1681872