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132043120 = 24511181829
BaseRepresentation
bin1111101111011…
…01000101110000
3100012110111002221
413313231011300
5232300334440
621034050424
73162230236
oct767550560
9305414087
10132043120
1168597a50
1238279a14
1321482731
1413772956
15b8d3d4a
hex7ded170

132043120 has 80 divisors (see below), whose sum is σ = 337165920. Its totient is φ = 47692800.

The previous prime is 132043111. The next prime is 132043129. The reversal of 132043120 is 21340231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132043111) and next prime (132043129).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 132043094 and 132043103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132043129) 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, 158866 + ... + 159694.

It is an arithmetic number, because the mean of its divisors is an integer number (4214574).

Almost surely, 2132043120 is an apocalyptic number.

132043120 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 132043120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168582960).

132043120 is an abundant number, since it is smaller than the sum of its proper divisors (205122800).

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

132043120 is a wasteful number, since it uses less digits than its factorization.

132043120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 132043120 is about 11491.0016969801. The cubic root of 132043120 is about 509.2197732689.

Adding to 132043120 its reverse (21340231), we get a palindrome (153383351).

The spelling of 132043120 in words is "one hundred thirty-two million, forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 181 220 362 440 724 829 880 905 1448 1658 1810 1991 2896 3316 3620 3982 4145 6632 7240 7964 8290 9119 9955 13264 14480 15928 16580 18238 19910 31856 33160 36476 39820 45595 66320 72952 79640 91190 145904 150049 159280 182380 300098 364760 600196 729520 750245 1200392 1500490 1650539 2400784 3000980 3301078 6001960 6602156 8252695 12003920 13204312 16505390 26408624 33010780 66021560 132043120