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132201140 = 225291931181
BaseRepresentation
bin1111110000100…
…11101010110100
3100012202111212112
413320103222310
5232320414030
621041310152
73163456031
oct770235264
9305674775
10132201140
1168695745
1238335358
1321509636
14137b4388
15b915a95
hex7e13ab4

132201140 has 48 divisors (see below), whose sum is σ = 288928080. Its totient is φ = 50749440.

The previous prime is 132201137. The next prime is 132201149. The reversal of 132201140 is 41102231.

It can be written as a sum of positive squares in 8 ways, for example, as 364816 + 131836324 = 604^2 + 11482^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132201149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111350 + ... + 112530.

It is an arithmetic number, because the mean of its divisors is an integer number (6019335).

Almost surely, 2132201140 is an apocalyptic number.

132201140 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 132201140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144464040).

132201140 is an abundant number, since it is smaller than the sum of its proper divisors (156726940).

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

132201140 is a wasteful number, since it uses less digits than its factorization.

132201140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 132201140 is about 11497.8754559266. The cubic root of 132201140 is about 509.4228251983.

Adding to 132201140 its reverse (41102231), we get a palindrome (173303371).

The spelling of 132201140 in words is "one hundred thirty-two million, two hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 193 290 386 580 772 965 1181 1930 2362 3860 4724 5597 5905 11194 11810 22388 23620 27985 34249 55970 68498 111940 136996 171245 227933 342490 455866 684980 911732 1139665 2279330 4558660 6610057 13220114 26440228 33050285 66100570 132201140