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132012384 = 2537316337
BaseRepresentation
bin1111101111001…
…01100101100000
3100012101220221120
413313211211200
5232243344014
621033252240
73162041520
oct767454540
9305356846
10132012384
1168576949
1238264080
132147174a
1413765680
15b8c9ba9
hex7de5960

132012384 has 96 divisors (see below), whose sum is σ = 408877056. Its totient is φ = 36495360.

The previous prime is 132012373. The next prime is 132012389. The reversal of 132012384 is 483210231.

132012384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132012389) 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, 17664 + ... + 24000.

It is an arithmetic number, because the mean of its divisors is an integer number (4259136).

Almost surely, 2132012384 is an apocalyptic number.

132012384 is a gapful number since it is divisible by the number (14) 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 132012384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204438528).

132012384 is an abundant number, since it is smaller than the sum of its proper divisors (276864672).

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

132012384 is a wasteful number, since it uses less digits than its factorization.

132012384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6388 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 132012384 is about 11489.6642248588. The cubic root of 132012384 is about 509.1802594255.

The spelling of 132012384 in words is "one hundred thirty-two million, twelve thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6337 6944 10416 12674 19011 20832 25348 38022 44359 50696 76044 88718 101392 133077 152088 177436 196447 202784 266154 304176 354872 392894 532308 589341 608352 709744 785788 1064616 1178682 1375129 1419488 1571576 2129232 2357364 2750258 3143152 4125387 4258464 4714728 5500516 6286304 8250774 9429456 11001032 16501548 18858912 22002064 33003096 44004128 66006192 132012384