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132203340 = 22345791033
BaseRepresentation
bin1111110000101…
…00001101001100
3100012202121220000
413320110031030
5232321001330
621041324300
73163465323
oct770241514
9305677800
10132203340
1168697365
1238336690
132150a639
14137b50ba
15b916560
hex7e1434c

132203340 has 120 divisors (see below), whose sum is σ = 420383040. Its totient is φ = 34774272.

The previous prime is 132203327. The next prime is 132203341. The reversal of 132203340 is 43302231.

132203340 is a `hidden beast` number, since 1 + 322 + 0 + 3 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (132203341) 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 39 ways as a sum of consecutive naturals, for example, 127464 + ... + 128496.

It is an arithmetic number, because the mean of its divisors is an integer number (3503192).

Almost surely, 2132203340 is an apocalyptic number.

132203340 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 132203340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210191520).

132203340 is an abundant number, since it is smaller than the sum of its proper divisors (288179700).

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

132203340 is a wasteful number, since it uses less digits than its factorization.

132203340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 132203340 is about 11497.9711253769. The cubic root of 132203340 is about 509.4256510035.

Adding to 132203340 its reverse (43302231), we get a palindrome (175505571).

The spelling of 132203340 in words is "one hundred thirty-two million, two hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 81 90 108 135 158 162 180 237 270 316 324 395 405 474 540 711 790 810 948 1033 1185 1422 1580 1620 2066 2133 2370 2844 3099 3555 4132 4266 4740 5165 6198 6399 7110 8532 9297 10330 10665 12396 12798 14220 15495 18594 20660 21330 25596 27891 30990 31995 37188 42660 46485 55782 61980 63990 81607 83673 92970 111564 127980 139455 163214 167346 185940 244821 278910 326428 334692 408035 418365 489642 557820 734463 816070 836730 979284 1224105 1468926 1632140 1673460 2203389 2448210 2937852 3672315 4406778 4896420 6610167 7344630 8813556 11016945 13220334 14689260 22033890 26440668 33050835 44067780 66101670 132203340