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1981332 = 2232471171
BaseRepresentation
bin111100011101110010100
310201122212200
413203232110
51001400312
6110244500
722561323
oct7435624
93648780
101981332
111133671
127b6730
13544ab2
143980ba
152920dc
hex1e3b94

1981332 has 36 divisors (see below), whose sum is σ = 5119296. Its totient is φ = 645840.

The previous prime is 1981297. The next prime is 1981337. The reversal of 1981332 is 2331891.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×19813323 = 23334205378961479104, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1981296 and 1981305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1981337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1107 + ... + 2277.

21981332 is an apocalyptic number.

1981332 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 1981332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559648).

1981332 is an abundant number, since it is smaller than the sum of its proper divisors (3137964).

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

1981332 is a wasteful number, since it uses less digits than its factorization.

1981332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1223 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 1981332 is about 1407.5979539627. The cubic root of 1981332 is about 125.5988755359.

It can be divided in two parts, 198133 and 2, that added together give a triangular number (198135 = T629).

The spelling of 1981332 in words is "one million, nine hundred eighty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1171 1692 2342 3513 4684 7026 10539 14052 21078 42156 55037 110074 165111 220148 330222 495333 660444 990666 1981332