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132416016 = 24319145193
BaseRepresentation
bin1111110010010…
…00001000010000
3100020011102121220
413321020020100
5232344303031
621050045040
73165342345
oct771101020
9306142556
10132416016
1168822127
1238419780
1321583395
141382c7cc
15b959596
hex7e48210

132416016 has 40 divisors (see below), whose sum is σ = 360081120. Its totient is φ = 41815296.

The previous prime is 132415951. The next prime is 132416017. The reversal of 132416016 is 610614231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (132416017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71685 + ... + 73508.

It is an arithmetic number, because the mean of its divisors is an integer number (9002028).

Almost surely, 2132416016 is an apocalyptic number.

132416016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132416016 is an abundant number, since it is smaller than the sum of its proper divisors (227665104).

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

132416016 is a wasteful number, since it uses less digits than its factorization.

132416016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145223 (or 145217 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 132416016 is about 11507.2158231259. The cubic root of 132416016 is about 509.6986762905.

The spelling of 132416016 in words is "one hundred thirty-two million, four hundred sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 145193 290386 435579 580772 871158 1161544 1742316 2323088 2758667 3484632 5517334 6969264 8276001 11034668 16552002 22069336 33104004 44138672 66208008 132416016