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10321020 = 2234523277
BaseRepresentation
bin100111010111…
…110001111100
3201102100210000
4213113301330
510120233040
61005114300
7153504303
oct47276174
921370700
1010321020
11590a376
123558990
1321a4a18
14152943a
15d8d130
hex9d7c7c

10321020 has 120 divisors (see below), whose sum is σ = 33907104. Its totient is φ = 2623104.

The previous prime is 10320983. The next prime is 10321021. The reversal of 10321020 is 2012301.

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 = 10320993 and 10321011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37122 + ... + 37398.

Almost surely, 210321020 is an apocalyptic number.

10321020 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 10321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16953552).

10321020 is an abundant number, since it is smaller than the sum of its proper divisors (23586084).

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

10321020 is a wasteful number, since it uses less digits than its factorization.

10321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 310 counting only the distinct ones).

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

The square root of 10321020 is about 3212.6344329849. The cubic root of 10321020 is about 217.7246193159.

Adding to 10321020 its reverse (2012301), we get a palindrome (12333321).

The spelling of 10321020 in words is "ten million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 270 276 277 324 345 405 414 460 540 554 621 690 810 828 831 1035 1108 1242 1380 1385 1620 1662 1863 2070 2484 2493 2770 3105 3324 3726 4140 4155 4986 5540 6210 6371 7452 7479 8310 9315 9972 12420 12465 12742 14958 16620 18630 19113 22437 24930 25484 29916 31855 37260 37395 38226 44874 49860 57339 63710 74790 76452 89748 95565 112185 114678 127420 149580 172017 191130 224370 229356 286695 344034 382260 448740 516051 573390 688068 860085 1032102 1146780 1720170 2064204 2580255 3440340 5160510 10321020