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132313040 = 24517271359
BaseRepresentation
bin1111110001011…
…10111111010000
3100012222012100222
413320232333100
5232333004130
621043532212
73164433206
oct770567720
9305865328
10132313040
1168761822
123838a068
1321548552
1413803076
15b938ce5
hex7e2efd0

132313040 has 80 divisors (see below), whose sum is σ = 327836160. Its totient is φ = 49489920.

The previous prime is 132313033. The next prime is 132313061. The reversal of 132313040 is 40313231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 368381 + ... + 368739.

It is an arithmetic number, because the mean of its divisors is an integer number (4097952).

Almost surely, 2132313040 is an apocalyptic number.

132313040 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 132313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163918080).

132313040 is an abundant number, since it is smaller than the sum of its proper divisors (195523120).

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

132313040 is a wasteful number, since it uses less digits than its factorization.

132313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 132313040 is about 11502.7405430184. The cubic root of 132313040 is about 509.5665161885.

Adding to 132313040 its reverse (40313231), we get a palindrome (172626271).

The spelling of 132313040 in words is "one hundred thirty-two million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 271 272 340 359 542 680 718 1084 1355 1360 1436 1795 2168 2710 2872 3590 4336 4607 5420 5744 6103 7180 9214 10840 12206 14360 18428 21680 23035 24412 28720 30515 36856 46070 48824 61030 73712 92140 97289 97648 122060 184280 194578 244120 368560 389156 486445 488240 778312 972890 1556624 1653913 1945780 3307826 3891560 6615652 7783120 8269565 13231304 16539130 26462608 33078260 66156520 132313040