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132160938 = 237213151229
BaseRepresentation
bin1111110000010…
…01110110101010
3100012200110201120
413320021312222
5232313122223
621040400110
73163230600
oct770116652
9305613646
10132160938
1168668518
1238316036
13214c4250
14137a3870
15b908be3
hex7e09daa

132160938 has 96 divisors (see below), whose sum is σ = 334776960. Its totient is φ = 34473600.

The previous prime is 132160933. The next prime is 132160939. The reversal of 132160938 is 839061231.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132160899 and 132160908.

It is not an unprimeable number, because it can be changed into a prime (132160933) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 577008 + ... + 577236.

It is an arithmetic number, because the mean of its divisors is an integer number (3487260).

Almost surely, 2132160938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132160938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167388480).

132160938 is an abundant number, since it is smaller than the sum of its proper divisors (202616022).

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

132160938 is a wasteful number, since it uses less digits than its factorization.

132160938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 132160938 is about 11496.1270869802. The cubic root of 132160938 is about 509.3711819403.

The spelling of 132160938 in words is "one hundred thirty-two million, one hundred sixty thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 151 182 229 273 294 302 453 458 546 637 687 906 1057 1274 1374 1603 1911 1963 2114 2977 3171 3206 3822 3926 4809 5889 5954 6342 7399 8931 9618 11221 11778 13741 14798 17862 20839 22197 22442 27482 33663 34579 41223 41678 44394 62517 67326 69158 82446 96187 103737 125034 145873 192374 207474 242053 288561 291746 437619 449527 484106 577122 726159 875238 899054 1348581 1452318 1694371 2697162 3146689 3388742 5083113 6293378 9440067 10166226 18880134 22026823 44053646 66080469 132160938