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132012288 = 283371269
BaseRepresentation
bin1111101111001…
…01100100000000
3100012101220211000
413313211210000
5232243343123
621033252000
73162041322
oct767454400
9305356730
10132012288
1168576871
1238264000
13214716a5
1413765612
15b8c9b43
hex7de5900

132012288 has 144 divisors (see below), whose sum is σ = 397353600. Its totient is φ = 43223040.

The previous prime is 132012281. The next prime is 132012299. The reversal of 132012288 is 882210231.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132012281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490618 + ... + 490886.

It is an arithmetic number, because the mean of its divisors is an integer number (2759400).

Almost surely, 2132012288 is an apocalyptic number.

132012288 is a gapful number since it is divisible by the number (18) 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 132012288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198676800).

132012288 is an abundant number, since it is smaller than the sum of its proper divisors (265341312).

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

132012288 is an equidigital number, since it uses as much as digits as its factorization.

132012288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 132012288 is about 11489.6600471903. The cubic root of 132012288 is about 509.1801359994.

The spelling of 132012288 in words is "one hundred thirty-two million, twelve thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 96 108 128 142 144 192 213 216 256 269 284 288 384 426 432 538 568 576 639 768 807 852 864 1076 1136 1152 1278 1614 1704 1728 1917 2152 2272 2304 2421 2556 3228 3408 3456 3834 4304 4544 4842 5112 6456 6816 6912 7263 7668 8608 9088 9684 10224 12912 13632 14526 15336 17216 18176 19099 19368 20448 25824 27264 29052 30672 34432 38198 38736 40896 51648 54528 57297 58104 61344 68864 76396 77472 81792 103296 114594 116208 122688 152792 154944 163584 171891 206592 229188 232416 245376 305584 309888 343782 458376 464832 490752 515673 611168 619776 687564 916752 929664 1031346 1222336 1375128 1833504 1859328 2062692 2444672 2750256 3667008 4125384 4889344 5500512 7334016 8250768 11001024 14668032 16501536 22002048 33003072 44004096 66006144 132012288