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132066676 = 227171072593
BaseRepresentation
bin1111101111100…
…10110101110100
3100012111200102101
413313302311310
5232302113201
621034351444
73162356020
oct767626564
9305450371
10132066676
1168603715
123828b584
1321490381
141377b380
15b8dad01
hex7df2d74

132066676 has 48 divisors (see below), whose sum is σ = 282393216. Its totient is φ = 52752384.

The previous prime is 132066637. The next prime is 132066677. The reversal of 132066676 is 676660231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132066677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49636 + ... + 52228.

It is an arithmetic number, because the mean of its divisors is an integer number (5883192).

Almost surely, 2132066676 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 132066676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141196608).

132066676 is an abundant number, since it is smaller than the sum of its proper divisors (150326540).

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

132066676 is a wasteful number, since it uses less digits than its factorization.

132066676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 132066676 is about 11492.0266271881. The cubic root of 132066676 is about 509.2500524377.

The spelling of 132066676 in words is "one hundred thirty-two million, sixty-six thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 17 28 34 68 107 119 214 238 428 476 749 1498 1819 2593 2996 3638 5186 7276 10372 12733 18151 25466 36302 44081 50932 72604 88162 176324 277451 308567 554902 617134 1109804 1234268 1942157 3884314 4716667 7768628 9433334 18866668 33016669 66033338 132066676