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132098648 = 23111738677
BaseRepresentation
bin1111101111110…
…10101001011000
3100012120022021112
413313322221120
5232304124043
621035155452
73162551153
oct767725130
9305508245
10132098648
1168625740
12382a5b88
13214a1aa6
1413788c9a
15b8e5518
hex7dfaa58

132098648 has 32 divisors (see below), whose sum is σ = 271794960. Its totient is φ = 59690880.

The previous prime is 132098641. The next prime is 132098671. The reversal of 132098648 is 846890231.

132098648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132098641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10886 + ... + 19562.

Almost surely, 2132098648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132098648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135897480).

132098648 is an abundant number, since it is smaller than the sum of its proper divisors (139696312).

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

132098648 is a wasteful number, since it uses less digits than its factorization.

132098648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8867 (or 8863 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 132098648 is about 11493.4175944320. The cubic root of 132098648 is about 509.2911438759.

It can be divided in two parts, 132098 and 648, that multiplied together give a square (85599504 = 92522).

The spelling of 132098648 in words is "one hundred thirty-two million, ninety-eight thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 88 173 346 692 1384 1903 3806 7612 8677 15224 17354 34708 69416 95447 190894 381788 763576 1501121 3002242 6004484 12008968 16512331 33024662 66049324 132098648