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132020208 = 24321973661
BaseRepresentation
bin1111101111001…
…11011111110000
3100012102022200100
413313213133300
5232244121313
621033352400
73162103365
oct767473760
9305368610
10132020208
1168581811
1238268700
1321475188
141376846c
15b8cc173
hex7de77f0

132020208 has 120 divisors (see below), whose sum is σ = 394843280. Its totient is φ = 41057280.

The previous prime is 132020179. The next prime is 132020219. The reversal of 132020208 is 802020231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199398 + ... + 200058.

Almost surely, 2132020208 is an apocalyptic number.

132020208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132020208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197421640).

132020208 is an abundant number, since it is smaller than the sum of its proper divisors (262823072).

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

132020208 is a wasteful number, since it uses less digits than its factorization.

132020208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 132020208 is about 11490.0046997379. The cubic root of 132020208 is about 509.1903184506.

Adding to 132020208 its reverse (802020231), we get a palindrome (934040439).

It can be divided in two parts, 1320 and 20208, that added together give a triangular number (21528 = T207).

The spelling of 132020208 in words is "one hundred thirty-two million, twenty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 73 76 114 144 146 152 171 219 228 292 304 342 438 456 584 657 661 684 876 912 1168 1314 1322 1368 1387 1752 1983 2628 2644 2736 2774 3504 3966 4161 5256 5288 5548 5949 7932 8322 10512 10576 11096 11898 12483 12559 15864 16644 22192 23796 24966 25118 31728 33288 37677 47592 48253 49932 50236 66576 75354 95184 96506 99864 100472 113031 144759 150708 193012 199728 200944 226062 289518 301416 386024 434277 452124 579036 602832 772048 868554 904248 916807 1158072 1737108 1808496 1833614 2316144 2750421 3474216 3667228 5500842 6948432 7334456 8251263 11001684 14668912 16502526 22003368 33005052 44006736 66010104 132020208