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132214140 = 22335244841
BaseRepresentation
bin1111110000101…
…10110101111100
3100012210011201000
413320112311330
5232321323030
621041450300
73163541652
oct770266574
9305704630
10132214140
11686a4493
1238340990
1321512526
14137b8dd2
15b919860
hex7e16d7c

132214140 has 48 divisors (see below), whose sum is σ = 411334560. Its totient is φ = 35256960.

The previous prime is 132214133. The next prime is 132214157. The reversal of 132214140 is 41412231.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121881 + ... + 122960.

It is an arithmetic number, because the mean of its divisors is an integer number (8569470).

Almost surely, 2132214140 is an apocalyptic number.

132214140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132214140 is an abundant number, since it is smaller than the sum of its proper divisors (279120420).

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

132214140 is a wasteful number, since it uses less digits than its factorization.

132214140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244859 (or 244851 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 132214140 is about 11498.4407638601. The cubic root of 132214140 is about 509.4395226833.

Adding to 132214140 its reverse (41412231), we get a palindrome (173626371).

The spelling of 132214140 in words is "one hundred thirty-two million, two hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 244841 489682 734523 979364 1224205 1469046 2203569 2448410 2938092 3672615 4407138 4896820 6610707 7345230 8814276 11017845 13221414 14690460 22035690 26442828 33053535 44071380 66107070 132214140