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132652240 = 2457236879
BaseRepresentation
bin1111110100000…
…01110011010000
3100020121102122221
413322001303100
5232424332430
621055110424
73200345140
oct772016320
9306542587
10132652240
1168973656
1238512414
1321636a66
1413890920
15b9a457a
hex7e81cd0

132652240 has 40 divisors (see below), whose sum is σ = 352477440. Its totient is φ = 45480576.

The previous prime is 132652231. The next prime is 132652249. The reversal of 132652240 is 42256231.

It is an interprime number because it is at equal distance from previous prime (132652231) and next prime (132652249).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132652249) 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 7 ways as a sum of consecutive naturals, for example, 117880 + ... + 118999.

It is an arithmetic number, because the mean of its divisors is an integer number (8811936).

Almost surely, 2132652240 is an apocalyptic number.

132652240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132652240 is an abundant number, since it is smaller than the sum of its proper divisors (219825200).

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

132652240 is a wasteful number, since it uses less digits than its factorization.

132652240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236899 (or 236893 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 132652240 is about 11517.4754178162. The cubic root of 132652240 is about 510.0015891274.

The spelling of 132652240 in words is "one hundred thirty-two million, six hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 236879 473758 947516 1184395 1658153 1895032 2368790 3316306 3790064 4737580 6632612 8290765 9475160 13265224 16581530 18950320 26530448 33163060 66326120 132652240