Search a number
-
+
132827148 = 223311092
BaseRepresentation
bin1111110101011…
…00100000001100
3100020221022121000
413322230200030
5233000432043
621102540300
73202004106
oct772544014
9306838530
10132827148
1168a83003
1238597690
132169855c
14138d8576
15b9db2d3
hex7eac80c

132827148 has 36 divisors (see below), whose sum is σ = 344677480. Its totient is φ = 44235792.

The previous prime is 132827087. The next prime is 132827153. The reversal of 132827148 is 841728231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119218 + ... + 120326.

Almost surely, 2132827148 is an apocalyptic number.

132827148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132827148 is an abundant number, since it is smaller than the sum of its proper divisors (211850332).

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

132827148 is an equidigital number, since it uses as much as digits as its factorization.

132827148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 1114 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 132827148 is about 11525.0660735633. The cubic root of 132827148 is about 510.2256440961.

The spelling of 132827148 in words is "one hundred thirty-two million, eight hundred twenty-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1109 2218 3327 4436 6654 9981 13308 19962 29943 39924 59886 119772 1229881 2459762 3689643 4919524 7379286 11068929 14758572 22137858 33206787 44275716 66413574 132827148