Search a number
-
+
132198080 = 265728431
BaseRepresentation
bin1111110000100…
…10111011000000
3100012202100200012
413320102323000
5232320314310
621041244052
73163444100
oct770227300
9305670605
10132198080
1168693413
1238333628
1321508121
14137b3200
15b914c05
hex7e12ec0

132198080 has 84 divisors (see below), whose sum is σ = 366235488. Its totient is φ = 45319680.

The previous prime is 132198061. The next prime is 132198097. The reversal of 132198080 is 80891231.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11465 + ... + 19895.

Almost surely, 2132198080 is an apocalyptic number.

132198080 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 132198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183117744).

132198080 is an abundant number, since it is smaller than the sum of its proper divisors (234037408).

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

132198080 is an equidigital number, since it uses as much as digits as its factorization.

132198080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8462 (or 8445 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 132198080 is about 11497.7423870950. The cubic root of 132198080 is about 509.4188947080.

The spelling of 132198080 in words is "one hundred thirty-two million, one hundred ninety-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1960 2240 3136 3920 7840 8431 15680 16862 33724 42155 59017 67448 84310 118034 134896 168620 236068 269792 295085 337240 413119 472136 539584 590170 674480 826238 944272 1180340 1348960 1652476 1888544 2065595 2360680 2697920 3304952 3777088 4131190 4721360 6609904 8262380 9442720 13219808 16524760 18885440 26439616 33049520 66099040 132198080