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132406848 = 2632732839
BaseRepresentation
bin1111110010001…
…01111001000000
3100020010222001100
413321011321000
5232344004343
621045534400
73165303540
oct771057100
9306128040
10132406848
1168816252
1238414400
132157c162
1413829320
15b9569d3
hex7e45e40

132406848 has 84 divisors (see below), whose sum is σ = 433750720. Its totient is φ = 37829376.

The previous prime is 132406823. The next prime is 132406871. The reversal of 132406848 is 848604231.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a congruent number.

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, 12388 + ... + 20451.

Almost surely, 2132406848 is an apocalyptic number.

132406848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132406848 is an abundant number, since it is smaller than the sum of its proper divisors (301343872).

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

132406848 is a wasteful number, since it uses less digits than its factorization.

132406848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32864 (or 32851 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 132406848 is about 11506.8174574901. The cubic root of 132406848 is about 509.6869127958.

The spelling of 132406848 in words is "one hundred thirty-two million, four hundred six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 32839 65678 98517 131356 197034 229873 262712 295551 394068 459746 525424 591102 689619 788136 919492 1050848 1182204 1379238 1576272 1838984 2068857 2101696 2364408 2758476 3152544 3677968 4137714 4728816 5516952 6305088 7355936 8275428 9457632 11033904 14711872 16550856 18915264 22067808 33101712 44135616 66203424 132406848