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132203328 = 2634367239
BaseRepresentation
bin1111110000101…
…00001101000000
3100012202121212120
413320110031000
5232321001303
621041324240
73163465305
oct770241500
9305677776
10132203328
1168697354
1238336680
132150a62a
14137b50ac
15b916553
hex7e14340

132203328 has 112 divisors (see below), whose sum is σ = 364784640. Its totient is φ = 42223104.

The previous prime is 132203327. The next prime is 132203341. The reversal of 132203328 is 823302231.

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

It is a junction number, because it is equal to n+sod(n) for n = 132203298 and 132203307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132203321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 553033 + ... + 553271.

Almost surely, 2132203328 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 132203328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182392320).

132203328 is an abundant number, since it is smaller than the sum of its proper divisors (232581312).

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

132203328 is a wasteful number, since it uses less digits than its factorization.

132203328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 132203328 is about 11497.9706035457. The cubic root of 132203328 is about 509.4256355901.

Adding to 132203328 its reverse (823302231), we get a palindrome (955505559).

The spelling of 132203328 in words is "one hundred thirty-two million, two hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 67 86 96 129 134 172 192 201 239 258 268 344 402 478 516 536 688 717 804 956 1032 1072 1376 1434 1608 1912 2064 2144 2752 2868 2881 3216 3824 4128 4288 5736 5762 6432 7648 8256 8643 10277 11472 11524 12864 15296 16013 17286 20554 22944 23048 30831 32026 34572 41108 45888 46096 48039 61662 64052 69144 82216 92192 96078 123324 128104 138288 164432 184384 192156 246648 256208 276576 328864 384312 493296 512416 553152 657728 688559 768624 986592 1024832 1377118 1537248 1973184 2065677 2754236 3074496 4131354 5508472 8262708 11016944 16525416 22033888 33050832 44067776 66101664 132203328