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132960016 = 2471936151
BaseRepresentation
bin1111110110011…
…00111100010000
3100021012001212001
413323030330100
5233014210031
621105443344
73203066350
oct773147420
9307161761
10132960016
1169063912
1238640554
1321713b87
1413930b60
15ba15861
hex7eccf10

132960016 has 40 divisors (see below), whose sum is σ = 295985024. Its totient is φ = 56678400.

The previous prime is 132959993. The next prime is 132960017. The reversal of 132960016 is 610069231.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132960017) 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, 18541 + ... + 24691.

Almost surely, 2132960016 is an apocalyptic number.

132960016 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 132960016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147992512).

132960016 is an abundant number, since it is smaller than the sum of its proper divisors (163025008).

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

132960016 is a wasteful number, since it uses less digits than its factorization.

132960016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6359 (or 6353 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 132960016 is about 11530.8289381120. The cubic root of 132960016 is about 510.3957149236.

The spelling of 132960016 in words is "one hundred thirty-two million, nine hundred sixty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 193 386 772 1351 1544 2702 3088 5404 6151 10808 12302 21616 24604 43057 49208 86114 98416 172228 344456 688912 1187143 2374286 4748572 8310001 9497144 16620002 18994288 33240004 66480008 132960016