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10332420 = 2235773337
BaseRepresentation
bin100111011010…
…100100000100
3201102221102020
4213122210010
510121114140
61005243140
7153552450
oct47324404
921387366
1010332420
11591799a
1235634b0
1321a9c77
14152d660
15d916d0
hex9da904

10332420 has 96 divisors (see below), whose sum is σ = 33616128. Its totient is φ = 2322432.

The previous prime is 10332397. The next prime is 10332431. The reversal of 10332420 is 2423301.

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 10332420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30492 + ... + 30828.

It is an arithmetic number, because the mean of its divisors is an integer number (350168).

Almost surely, 210332420 is an apocalyptic number.

10332420 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 10332420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16808064).

10332420 is an abundant number, since it is smaller than the sum of its proper divisors (23283708).

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

10332420 is a wasteful number, since it uses less digits than its factorization.

10332420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 10332420 is about 3214.4081881429. The cubic root of 10332420 is about 217.8047518149.

Adding to 10332420 its reverse (2423301), we get a palindrome (12755721).

It can be divided in two parts, 103 and 32420, that added together give a palindrome (32523).

The spelling of 10332420 in words is "ten million, three hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 73 84 105 140 146 210 219 292 337 365 420 438 511 674 730 876 1011 1022 1095 1348 1460 1533 1685 2022 2044 2190 2359 2555 3066 3370 4044 4380 4718 5055 5110 6132 6740 7077 7665 9436 10110 10220 11795 14154 15330 20220 23590 24601 28308 30660 35385 47180 49202 70770 73803 98404 123005 141540 147606 172207 246010 295212 344414 369015 492020 516621 688828 738030 861035 1033242 1476060 1722070 2066484 2583105 3444140 5166210 10332420