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1681120 = 25571979
BaseRepresentation
bin110011010011011100000
310011102001201
412122123200
5412243440
6100010544
720201140
oct6323340
93142051
101681120
11a49061
12690a54
1346b25c
1431a920
1523319a
hex19a6e0

1681120 has 96 divisors (see below), whose sum is σ = 4838400. Its totient is φ = 539136.

The previous prime is 1681103. The next prime is 1681129. The reversal of 1681120 is 211861.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21241 + ... + 21319.

It is an arithmetic number, because the mean of its divisors is an integer number (50400).

21681120 is an apocalyptic number.

1681120 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 1681120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419200).

1681120 is an abundant number, since it is smaller than the sum of its proper divisors (3157280).

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

1681120 is a wasteful number, since it uses less digits than its factorization.

1681120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 1681120 is about 1296.5801170772. The cubic root of 1681120 is about 118.9048506178.

Adding to 1681120 its reverse (211861), we get a palindrome (1892981).

The spelling of 1681120 in words is "one million, six hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 70 76 79 80 95 112 133 140 152 158 160 190 224 266 280 304 316 380 395 532 553 560 608 632 665 760 790 1064 1106 1120 1264 1330 1501 1520 1580 2128 2212 2528 2660 2765 3002 3040 3160 4256 4424 5320 5530 6004 6320 7505 8848 10507 10640 11060 12008 12640 15010 17696 21014 21280 22120 24016 30020 42028 44240 48032 52535 60040 84056 88480 105070 120080 168112 210140 240160 336224 420280 840560 1681120