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1331980 = 2251347109
BaseRepresentation
bin101000101001100001100
32111200010121
411011030030
5320110410
644314324
714215216
oct5051414
92450117
101331980
1182a811
125429a4
13378370
142695b6
151b49da
hex14530c

1331980 has 48 divisors (see below), whose sum is σ = 3104640. Its totient is φ = 476928.

The previous prime is 1331969. The next prime is 1331987. The reversal of 1331980 is 891331.

It is not an unprimeable number, because it can be changed into a prime (1331987) 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, 12166 + ... + 12274.

It is an arithmetic number, because the mean of its divisors is an integer number (64680).

21331980 is an apocalyptic number.

1331980 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 1331980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552320).

1331980 is an abundant number, since it is smaller than the sum of its proper divisors (1772660).

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

1331980 is a wasteful number, since it uses less digits than its factorization.

1331980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 1331980 is about 1154.1143790803. The cubic root of 1331980 is about 110.0269906220.

The spelling of 1331980 in words is "one million, three hundred thirty-one thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 109 130 188 218 235 260 436 470 545 611 940 1090 1222 1417 2180 2444 2834 3055 5123 5668 6110 7085 10246 12220 14170 20492 25615 28340 51230 66599 102460 133198 266396 332995 665990 1331980