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132010020 = 22335244463
BaseRepresentation
bin1111101111001…
…01000000100100
3100012101210201000
413313211000210
5232243310040
621033233300
73162031602
oct767450044
9305353630
10132010020
116857509a
1238262830
132147064c
1413764872
15b8c9130
hex7de5024

132010020 has 48 divisors (see below), whose sum is σ = 410699520. Its totient is φ = 35202528.

The previous prime is 132010007. The next prime is 132010031. The reversal of 132010020 is 20010231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 132009984 and 132010011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121692 + ... + 122771.

It is an arithmetic number, because the mean of its divisors is an integer number (8556240).

Almost surely, 2132010020 is an apocalyptic number.

132010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132010020 is an abundant number, since it is smaller than the sum of its proper divisors (278689500).

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

132010020 is a wasteful number, since it uses less digits than its factorization.

132010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244481 (or 244473 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 132010020 is about 11489.5613493292. The cubic root of 132010020 is about 509.1772200406.

Adding to 132010020 its reverse (20010231), we get a palindrome (152020251).

The spelling of 132010020 in words is "one hundred thirty-two million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 244463 488926 733389 977852 1222315 1466778 2200167 2444630 2933556 3666945 4400334 4889260 6600501 7333890 8800668 11000835 13201002 14667780 22001670 26402004 33002505 44003340 66005010 132010020