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1332972 = 223261607
BaseRepresentation
bin101000101011011101100
32111201111100
411011123230
5320123342
644323100
714221134
oct5053354
92451440
101332972
11830533
12543490
13378954
14269ac4
151b4e4c
hex1456ec

1332972 has 36 divisors (see below), whose sum is σ = 3430336. Its totient is φ = 436320.

The previous prime is 1332959. The next prime is 1332973. The reversal of 1332972 is 2792331.

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

It is not an unprimeable number, because it can be changed into a prime (1332973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1893 + ... + 2499.

21332972 is an apocalyptic number.

1332972 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 1332972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715168).

1332972 is an abundant number, since it is smaller than the sum of its proper divisors (2097364).

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

1332972 is a wasteful number, since it uses less digits than its factorization.

1332972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 673 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 1332972 is about 1154.5440658546. The cubic root of 1332972 is about 110.0542982617.

It can be divided in two parts, 1332 and 972, that added together give a square (2304 = 482).

The spelling of 1332972 in words is "one million, three hundred thirty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 607 732 1098 1214 1821 2196 2428 3642 5463 7284 10926 21852 37027 74054 111081 148108 222162 333243 444324 666486 1332972