[go: up one dir, main page]

Search a number
-
+
10104450 = 2352314153
BaseRepresentation
bin100110100010…
…111010000010
3201000100200220
4212202322002
510041320300
61000323510
7151613016
oct46427202
921010626
1010104450
115781694
123473596
13212a285
1414b0546
15d48da0
hex9a2e82

10104450 has 96 divisors (see below), whose sum is σ = 26998272. Its totient is φ = 2496000.

The previous prime is 10104449. The next prime is 10104461. The reversal of 10104450 is 5440101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190624 + ... + 190676.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 210104450 is an apocalyptic number.

10104450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10104450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13499136).

10104450 is an abundant number, since it is smaller than the sum of its proper divisors (16893822).

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

10104450 is a wasteful number, since it uses less digits than its factorization.

10104450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 10104450 is about 3178.7497542273. The cubic root of 10104450 is about 216.1909747913.

Adding to 10104450 its reverse (5440101), we get a palindrome (15544551).

It can be divided in two parts, 1010 and 4450, that added together give a triangular number (5460 = T104).

The spelling of 10104450 in words is "ten million, one hundred four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 41 50 53 62 75 82 93 106 123 150 155 159 186 205 246 265 310 318 410 465 530 615 775 795 930 1025 1230 1271 1325 1550 1590 1643 2050 2173 2325 2542 2650 3075 3286 3813 3975 4346 4650 4929 6150 6355 6519 7626 7950 8215 9858 10865 12710 13038 16430 19065 21730 24645 31775 32595 38130 41075 49290 54325 63550 65190 67363 82150 95325 108650 123225 134726 162975 190650 202089 246450 325950 336815 404178 673630 1010445 1684075 2020890 3368150 5052225 10104450