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132412050 = 23352432281
BaseRepresentation
bin1111110010001…
…11001010010010
3100020011020012000
413321013022102
5232344141200
621050014430
73165324651
oct771071222
9306136160
10132412050
116881a151
1238417416
1321581634
141382b198
15b958300
hex7e47292

132412050 has 96 divisors (see below), whose sum is σ = 373517760. Its totient is φ = 34473600.

The previous prime is 132412039. The next prime is 132412069. The reversal of 132412050 is 50214231.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56910 + ... + 59190.

It is an arithmetic number, because the mean of its divisors is an integer number (3890810).

Almost surely, 2132412050 is an apocalyptic number.

132412050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132412050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186758880).

132412050 is an abundant number, since it is smaller than the sum of its proper divisors (241105710).

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

132412050 is a wasteful number, since it uses less digits than its factorization.

132412050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 132412050 is about 11507.0434951815. The cubic root of 132412050 is about 509.6935875679.

Adding to 132412050 its reverse (50214231), we get a palindrome (182626281).

The spelling of 132412050 in words is "one hundred thirty-two million, four hundred twelve thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 43 45 50 54 75 86 90 129 135 150 215 225 258 270 387 430 450 645 675 774 1075 1161 1290 1350 1935 2150 2281 2322 3225 3870 4562 5805 6450 6843 9675 11405 11610 13686 19350 20529 22810 29025 34215 41058 57025 58050 61587 68430 98083 102645 114050 123174 171075 196166 205290 294249 307935 342150 490415 513225 588498 615870 882747 980830 1026450 1471245 1539675 1765494 2452075 2648241 2942490 3079350 4413735 4904150 5296482 7356225 8827470 13241205 14712450 22068675 26482410 44137350 66206025 132412050