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10204020 = 2232583683
BaseRepresentation
bin100110111011…
…001101110100
3201012102021200
4212323031310
510103012040
61002412500
7152506221
oct46731564
921172250
1010204020
11583a482
123501130
1321636a8
1414d8948
15d68630
hex9bb374

10204020 has 72 divisors (see below), whose sum is σ = 31370976. Its totient is φ = 2684352.

The previous prime is 10203989. The next prime is 10204021. The reversal of 10204020 is 2040201.

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 = 10203993 and 10204011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14599 + ... + 15281.

It is an arithmetic number, because the mean of its divisors is an integer number (435708).

Almost surely, 210204020 is an apocalyptic number.

10204020 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 10204020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685488).

10204020 is an abundant number, since it is smaller than the sum of its proper divisors (21166956).

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

10204020 is a wasteful number, since it uses less digits than its factorization.

10204020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 10204020 is about 3194.3731779490. The cubic root of 10204020 is about 216.8987755855.

Adding to 10204020 its reverse (2040201), we get a palindrome (12244221).

The spelling of 10204020 in words is "ten million, two hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 683 747 830 996 1245 1366 1494 1660 2049 2490 2732 2988 3415 3735 4098 4980 6147 6830 7470 8196 10245 12294 13660 14940 20490 24588 30735 40980 56689 61470 113378 122940 170067 226756 283445 340134 510201 566890 680268 850335 1020402 1133780 1700670 2040804 2551005 3401340 5102010 10204020