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132142104 = 2334613343
BaseRepresentation
bin1111110000001…
…01010000011000
3100012122111220000
413320011100120
5232312021404
621040133000
73163121643
oct770052030
9305574800
10132142104
1168655356
1238307160
13214b87c3
141379aa5a
15b903339
hex7e05418

132142104 has 80 divisors (see below), whose sum is σ = 376300320. Its totient is φ = 43312320.

The previous prime is 132142097. The next prime is 132142159. The reversal of 132142104 is 401241231.

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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37857 + ... + 41199.

It is an arithmetic number, because the mean of its divisors is an integer number (4703754).

Almost surely, 2132142104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132142104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188150160).

132142104 is an abundant number, since it is smaller than the sum of its proper divisors (244158216).

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

132142104 is a wasteful number, since it uses less digits than its factorization.

132142104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3409 counting only the distinct ones).

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

The square root of 132142104 is about 11495.3079123615. The cubic root of 132142104 is about 509.3469842898.

Adding to 132142104 its reverse (401241231), we get a palindrome (533383335).

The spelling of 132142104 in words is "one hundred thirty-two million, one hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 244 324 366 488 549 648 732 1098 1464 1647 2196 3294 3343 4392 4941 6588 6686 9882 10029 13176 13372 19764 20058 26744 30087 39528 40116 60174 80232 90261 120348 180522 203923 240696 270783 361044 407846 541566 611769 722088 815692 1083132 1223538 1631384 1835307 2166264 2447076 3670614 4894152 5505921 7341228 11011842 14682456 16517763 22023684 33035526 44047368 66071052 132142104