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10132020 = 2233529647
BaseRepresentation
bin100110101001…
…101000110100
3201001202112000
4212221220310
510043211040
61001055300
7152056263
oct46515064
921052460
1010132020
1157a0378
123487530
1321399a2
1414ba5da
15d52130
hex9a9a34

10132020 has 96 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 2604672.

The previous prime is 10132019. The next prime is 10132021. The reversal of 10132020 is 2023101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10132019) and next prime (10132021).

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 = 10131993 and 10132011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132021) 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 31 ways as a sum of consecutive naturals, for example, 15337 + ... + 15983.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 210132020 is an apocalyptic number.

10132020 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 10132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

10132020 is an abundant number, since it is smaller than the sum of its proper divisors (22527180).

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

10132020 is a wasteful number, since it uses less digits than its factorization.

10132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 686 counting only the distinct ones).

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

The square root of 10132020 is about 3183.0834107827. The cubic root of 10132020 is about 216.3874219806.

Adding to 10132020 its reverse (2023101), we get a palindrome (12155121).

The spelling of 10132020 in words is "ten million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 647 783 870 1044 1294 1305 1566 1740 1941 2588 2610 3132 3235 3882 3915 5220 5823 6470 7764 7830 9705 11646 12940 15660 17469 18763 19410 23292 29115 34938 37526 38820 56289 58230 69876 75052 87345 93815 112578 116460 168867 174690 187630 225156 281445 337734 349380 375260 506601 562890 675468 844335 1013202 1125780 1688670 2026404 2533005 3377340 5066010 10132020