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132232608 = 2533314937
BaseRepresentation
bin1111110000110…
…11010110100000
3100012211010001000
413320123112200
5232322420413
621042112000
73163646544
oct770332640
9305733030
10132232608
1168707352
123834b600
132151aa61
14137c1a24
15b920073
hex7e1b5a0

132232608 has 96 divisors (see below), whose sum is σ = 398200320. Its totient is φ = 42647040.

The previous prime is 132232549. The next prime is 132232619. The reversal of 132232608 is 806232231.

132232608 is a `hidden beast` number, since 1 + 3 + 22 + 32 + 608 = 666.

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24316 + ... + 29252.

It is an arithmetic number, because the mean of its divisors is an integer number (4147920).

Almost surely, 2132232608 is an apocalyptic number.

132232608 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 132232608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199100160).

132232608 is an abundant number, since it is smaller than the sum of its proper divisors (265967712).

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

132232608 is a wasteful number, since it uses less digits than its factorization.

132232608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4987 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 132232608 is about 11499.2438012245. The cubic root of 132232608 is about 509.4632415056.

Adding to 132232608 its reverse (806232231), we get a palindrome (938464839).

It can be divided in two parts, 1322 and 32608, that added together give a triangular number (33930 = T260).

The spelling of 132232608 in words is "one hundred thirty-two million, two hundred thirty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4464 4937 6696 8928 9874 13392 14811 19748 26784 29622 39496 44433 59244 78992 88866 118488 133299 153047 157984 177732 236976 266598 306094 355464 459141 473952 533196 612188 710928 918282 1066392 1224376 1377423 1421856 1836564 2132784 2448752 2754846 3673128 4132269 4265568 4897504 5509692 7346256 8264538 11019384 14692512 16529076 22038768 33058152 44077536 66116304 132232608