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132345220 = 22572321787
BaseRepresentation
bin1111110001101…
…10110110000100
3100020000211111211
413320312312010
5232340021340
621044341204
73164626060
oct770666604
9306024454
10132345220
1168783a17
12383a4804
132155a0a7
1413810aa0
15b9435ea
hex7e36d84

132345220 has 72 divisors (see below), whose sum is σ = 332224704. Its totient is φ = 43378368.

The previous prime is 132345217. The next prime is 132345247. The reversal of 132345220 is 22543231.

It is a junction number, because it is equal to n+sod(n) for n = 132345191 and 132345200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73167 + ... + 74953.

It is an arithmetic number, because the mean of its divisors is an integer number (4614232).

Almost surely, 2132345220 is an apocalyptic number.

132345220 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 132345220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166112352).

132345220 is an abundant number, since it is smaller than the sum of its proper divisors (199879484).

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

132345220 is a wasteful number, since it uses less digits than its factorization.

132345220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 132345220 is about 11504.1392550682. The cubic root of 132345220 is about 509.6078235842.

Adding to 132345220 its reverse (22543231), we get a palindrome (154888451).

The spelling of 132345220 in words is "one hundred thirty-two million, three hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 529 644 805 1058 1610 1787 2116 2645 3220 3574 3703 5290 7148 7406 8935 10580 12509 14812 17870 18515 25018 35740 37030 41101 50036 62545 74060 82202 125090 164404 205505 250180 287707 411010 575414 822020 945323 1150828 1438535 1890646 2877070 3781292 4726615 5754140 6617261 9453230 13234522 18906460 26469044 33086305 66172610 132345220