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132102208 = 2671491979
BaseRepresentation
bin1111101111110…
…11100001000000
3100012120111011101
413313323201000
5232304232313
621035224144
73162564430
oct767734100
9305514141
10132102208
1168628387
12382a8054
13214a35b4
141378a2c0
15b8e65dd
hex7dfb840

132102208 has 56 divisors (see below), whose sum is σ = 301752000. Its totient is φ = 56206848.

The previous prime is 132102203. The next prime is 132102211. The reversal of 132102208 is 802201231.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (132102203) 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, 65763 + ... + 67741.

Almost surely, 2132102208 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 132102208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150876000).

132102208 is an abundant number, since it is smaller than the sum of its proper divisors (169649792).

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

132102208 is a wasteful number, since it uses less digits than its factorization.

132102208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 132102208 is about 11493.5724646430. The cubic root of 132102208 is about 509.2957188917.

Adding to 132102208 its reverse (802201231), we get a palindrome (934303439).

The spelling of 132102208 in words is "one hundred thirty-two million, one hundred two thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 149 224 298 448 596 1043 1192 1979 2086 2384 3958 4172 4768 7916 8344 9536 13853 15832 16688 27706 31664 33376 55412 63328 66752 110824 126656 221648 294871 443296 589742 886592 1179484 2064097 2358968 4128194 4717936 8256388 9435872 16512776 18871744 33025552 66051104 132102208