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1331680 = 25572941
BaseRepresentation
bin101000101000111100000
32111122201111
411011013200
5320103210
644313104
714214310
oct5050740
92448644
101331680
1182a569
12542794
1337819c
14269440
151b488a
hex1451e0

1331680 has 96 divisors (see below), whose sum is σ = 3810240. Its totient is φ = 430080.

The previous prime is 1331663. The next prime is 1331683. The reversal of 1331680 is 861331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331683) 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, 32460 + ... + 32500.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

21331680 is an apocalyptic number.

1331680 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 1331680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905120).

1331680 is an abundant number, since it is smaller than the sum of its proper divisors (2478560).

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

1331680 is a wasteful number, since it uses less digits than its factorization.

1331680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1331680 is about 1153.9844019743. The cubic root of 1331680 is about 110.0187295931.

The spelling of 1331680 in words is "one million, three hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 41 56 58 70 80 82 112 116 140 145 160 164 203 205 224 232 280 287 290 328 406 410 464 560 574 580 656 812 820 928 1015 1120 1148 1160 1189 1312 1435 1624 1640 2030 2296 2320 2378 2870 3248 3280 4060 4592 4640 4756 5740 5945 6496 6560 8120 8323 9184 9512 11480 11890 16240 16646 19024 22960 23780 32480 33292 38048 41615 45920 47560 66584 83230 95120 133168 166460 190240 266336 332920 665840 1331680