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132020700 = 22352731283
BaseRepresentation
bin1111101111001…
…11100111011100
3100012102100100120
413313213213130
5232244130300
621033354540
73162105000
oct767474734
9305370316
10132020700
1168582119
1238268a50
1321475476
1413768700
15b8cc3a0
hex7de79dc

132020700 has 144 divisors (see below), whose sum is σ = 445804800. Its totient is φ = 30152640.

The previous prime is 132020689. The next prime is 132020717. The reversal of 132020700 is 7020231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132020700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102259 + ... + 103541.

Almost surely, 2132020700 is an apocalyptic number.

132020700 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 132020700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222902400).

132020700 is an abundant number, since it is smaller than the sum of its proper divisors (313784100).

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

132020700 is a wasteful number, since it uses less digits than its factorization.

132020700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 132020700 is about 11490.0261096309. The cubic root of 132020700 is about 509.1909509833.

Adding to 132020700 its reverse (7020231), we get a palindrome (139040931).

The spelling of 132020700 in words is "one hundred thirty-two million, twenty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 343 350 420 490 525 588 686 700 735 980 1029 1050 1225 1283 1372 1470 1715 2058 2100 2450 2566 2940 3430 3675 3849 4116 4900 5132 5145 6415 6860 7350 7698 8575 8981 10290 12830 14700 15396 17150 17962 19245 20580 25660 25725 26943 32075 34300 35924 38490 44905 51450 53886 62867 64150 76980 89810 96225 102900 107772 125734 128300 134715 179620 188601 192450 224525 251468 269430 314335 377202 384900 440069 449050 538860 628670 673575 754404 880138 898100 943005 1257340 1320207 1347150 1571675 1760276 1886010 2200345 2640414 2694300 3143350 3772020 4400690 4715025 5280828 6286700 6601035 8801380 9430050 11001725 13202070 18860100 22003450 26404140 33005175 44006900 66010350 132020700