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132103440 = 2433578737
BaseRepresentation
bin1111101111110…
…11110100010000
3100012120112212000
413313323310100
5232304302230
621035234000
73162601140
oct767736420
9305515760
10132103440
11686292a7
12382a8900
13214a4021
141378a920
15b8e6b60
hex7dfbd10

132103440 has 160 divisors (see below), whose sum is σ = 520085760. Its totient is φ = 30191616.

The previous prime is 132103429. The next prime is 132103451. The reversal of 132103440 is 44301231.

132103440 is a `hidden beast` number, since 1 + 321 + 0 + 344 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132103429) and next prime (132103451).

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

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 31 ways as a sum of consecutive naturals, for example, 10752 + ... + 19488.

It is an arithmetic number, because the mean of its divisors is an integer number (3250536).

Almost surely, 2132103440 is an apocalyptic number.

132103440 is a gapful number since it is divisible by the number (10) 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 132103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260042880).

132103440 is an abundant number, since it is smaller than the sum of its proper divisors (387982320).

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

132103440 is a wasteful number, since it uses less digits than its factorization.

132103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8766 (or 8754 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132103440 is about 11493.6260596906. The cubic root of 132103440 is about 509.2973021364.

Adding to 132103440 its reverse (44301231), we get a palindrome (176404671).

The spelling of 132103440 in words is "one hundred thirty-two million, one hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 8737 15120 17474 26211 34948 43685 52422 61159 69896 78633 87370 104844 122318 131055 139792 157266 174740 183477 209688 235899 244636 262110 305795 314532 349480 366954 393165 419376 471798 489272 524220 550431 611590 629064 698960 733908 786330 917385 943596 978544 1048440 1100862 1179495 1223180 1258128 1467816 1572660 1651293 1834770 1887192 2096880 2201724 2358990 2446360 2752155 2935632 3145320 3302586 3669540 3774384 4403448 4717980 4892720 5504310 6290640 6605172 7339080 8256465 8806896 9435960 11008620 13210344 14678160 16512930 18871920 22017240 26420688 33025860 44034480 66051720 132103440