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1332496 = 241167113
BaseRepresentation
bin101000101010100010000
32111200211201
411011110100
5320114441
644320544
714216554
oct5052420
92450751
101332496
11830140
12543154
13378679
14269864
151b4c31
hex145510

1332496 has 40 divisors (see below), whose sum is σ = 2883744. Its totient is φ = 591360.

The previous prime is 1332491. The next prime is 1332503. The reversal of 1332496 is 6942331.

1332496 = T165 + T166 + ... + T231.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1332491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11736 + ... + 11848.

21332496 is an apocalyptic number.

1332496 is a gapful number since it is divisible by the number (16) 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 1332496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441872).

1332496 is an abundant number, since it is smaller than the sum of its proper divisors (1551248).

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

1332496 is a wasteful number, since it uses less digits than its factorization.

1332496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its digits is 3888, while the sum is 28.

The square root of 1332496 is about 1154.3379054679. The cubic root of 1332496 is about 110.0411966905.

The spelling of 1332496 in words is "one million, three hundred thirty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 67 88 113 134 176 226 268 452 536 737 904 1072 1243 1474 1808 2486 2948 4972 5896 7571 9944 11792 15142 19888 30284 60568 83281 121136 166562 333124 666248 1332496