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132645740 = 22537792269
BaseRepresentation
bin1111110100000…
…00001101101100
3100020121002202012
413322000031230
5232424130430
621055020352
73200320163
oct772001554
9306532665
10132645740
1168969787
123850a6b8
1321633b06
141388c3da
15b9a2695
hex7e8036c

132645740 has 48 divisors (see below), whose sum is σ = 289833600. Its totient is φ = 50948352.

The previous prime is 132645691. The next prime is 132645743. The reversal of 132645740 is 47546231.

It is a super-3 number, since 3×1326457403 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132645697 and 132645706.

It is not an unprimeable number, because it can be changed into a prime (132645743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57326 + ... + 59594.

It is an arithmetic number, because the mean of its divisors is an integer number (6038200).

Almost surely, 2132645740 is an apocalyptic number.

132645740 is a gapful number since it is divisible by the number (10) 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 132645740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144916800).

132645740 is an abundant number, since it is smaller than the sum of its proper divisors (157187860).

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

132645740 is a wasteful number, since it uses less digits than its factorization.

132645740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 132645740 is about 11517.1932344647. The cubic root of 132645740 is about 509.9932589138.

The spelling of 132645740 in words is "one hundred thirty-two million, six hundred forty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 37 74 79 148 158 185 316 370 395 740 790 1580 2269 2923 4538 5846 9076 11345 11692 14615 22690 29230 45380 58460 83953 167906 179251 335812 358502 419765 717004 839530 896255 1679060 1792510 3585020 6632287 13264574 26529148 33161435 66322870 132645740