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132036096 = 293671283
BaseRepresentation
bin1111101111010…
…11011000000000
3100012110010110210
413313223120000
5232300123341
621033554120
73162200613
oct767533000
9305403423
10132036096
1168592745
1238275940
132147c48a
141377017a
15b8d1c16
hex7deb600

132036096 has 80 divisors (see below), whose sum is σ = 357280704. Its totient is φ = 43321344.

The previous prime is 132036013. The next prime is 132036167. The reversal of 132036096 is 690630231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102271 + ... + 103553.

Almost surely, 2132036096 is an apocalyptic number.

132036096 is a gapful number since it is divisible by the number (16) 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 132036096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178640352).

132036096 is an abundant number, since it is smaller than the sum of its proper divisors (225244608).

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

132036096 is an equidigital number, since it uses as much as digits as its factorization.

132036096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 132036096 is about 11490.6960624672. The cubic root of 132036096 is about 509.2107438369.

The spelling of 132036096 in words is "one hundred thirty-two million, thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 512 536 768 804 1072 1283 1536 1608 2144 2566 3216 3849 4288 5132 6432 7698 8576 10264 12864 15396 17152 20528 25728 30792 34304 41056 51456 61584 82112 85961 102912 123168 164224 171922 246336 257883 328448 343844 492672 515766 656896 687688 985344 1031532 1375376 1970688 2063064 2750752 4126128 5501504 8252256 11003008 16504512 22006016 33009024 44012032 66018048 132036096