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132204620 = 225291032213
BaseRepresentation
bin1111110000101…
…00100001001100
3100012202200122102
413320110201030
5232321021440
621041334232
73163502132
oct770244114
9305680572
10132204620
1168698319
1238337378
132150b0b2
14137b5752
15b916b15
hex7e1484c

132204620 has 48 divisors (see below), whose sum is σ = 290122560. Its totient is φ = 50539776.

The previous prime is 132204619. The next prime is 132204637. The reversal of 132204620 is 26402231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132204592 and 132204601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58634 + ... + 60846.

It is an arithmetic number, because the mean of its divisors is an integer number (6044220).

Almost surely, 2132204620 is an apocalyptic number.

132204620 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 132204620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145061280).

132204620 is an abundant number, since it is smaller than the sum of its proper divisors (157917940).

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

132204620 is a wasteful number, since it uses less digits than its factorization.

132204620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 132204620 is about 11498.0267872361. The cubic root of 132204620 is about 509.4272950939.

Adding to 132204620 its reverse (26402231), we get a palindrome (158606851).

The spelling of 132204620 in words is "one hundred thirty-two million, two hundred four thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 103 116 145 206 290 412 515 580 1030 2060 2213 2987 4426 5974 8852 11065 11948 14935 22130 29870 44260 59740 64177 128354 227939 256708 320885 455878 641770 911756 1139695 1283540 2279390 4558780 6610231 13220462 26440924 33051155 66102310 132204620