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132349380 = 22352205823
BaseRepresentation
bin1111110001101…
…11110111000100
3100020001001012220
413320313313010
5232340140010
621044412340
73164644152
oct770676704
9306031186
10132349380
1168787059
12383a70b0
132155bc57
14138123d2
15b944970
hex7e37dc4

132349380 has 24 divisors (see below), whose sum is σ = 370578432. Its totient is φ = 35293152.

The previous prime is 132349379. The next prime is 132349381. The reversal of 132349380 is 83943231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132349379) and next prime (132349381).

It is not an unprimeable number, because it can be changed into a prime (132349381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1102852 + ... + 1102971.

It is an arithmetic number, because the mean of its divisors is an integer number (15440768).

Almost surely, 2132349380 is an apocalyptic number.

132349380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132349380 is an abundant number, since it is smaller than the sum of its proper divisors (238229052).

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

132349380 is a wasteful number, since it uses less digits than its factorization.

132349380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205835 (or 2205833 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 132349380 is about 11504.3200581347. The cubic root of 132349380 is about 509.6131630198.

The spelling of 132349380 in words is "one hundred thirty-two million, three hundred forty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2205823 4411646 6617469 8823292 11029115 13234938 22058230 26469876 33087345 44116460 66174690 132349380