Search a number
-
+
1327152 = 24343643
BaseRepresentation
bin101000100000000110000
32111102111210
411010000300
5314432102
644240120
714165151
oct5040060
92442453
101327152
11827122
12540040
133760c8
14267928
151b336c
hex144030

1327152 has 40 divisors (see below), whose sum is σ = 3513664. Its totient is φ = 431424.

The previous prime is 1327147. The next prime is 1327159. The reversal of 1327152 is 2517231.

It is a super-2 number, since 2×13271522 = 3522664862208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1327159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1743 + ... + 2385.

21327152 is an apocalyptic number.

1327152 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 1327152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756832).

1327152 is an abundant number, since it is smaller than the sum of its proper divisors (2186512).

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

1327152 is a wasteful number, since it uses less digits than its factorization.

1327152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 691 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 1327152 is about 1152.0208331450. The cubic root of 1327152 is about 109.8938921699.

The spelling of 1327152 in words is "one million, three hundred twenty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 643 688 1032 1286 1929 2064 2572 3858 5144 7716 10288 15432 27649 30864 55298 82947 110596 165894 221192 331788 442384 663576 1327152