Search a number
-
+
10052910 = 23657197
BaseRepresentation
bin100110010110…
…010100101110
3200220202000000
4212112110232
510033143120
6555245130
7151306530
oct46262456
920822000
1010052910
11574699a
1234497a6
13210c98a
141499850
15d38990
hex99652e

10052910 has 112 divisors (see below), whose sum is σ = 31163616. Its totient is φ = 2286144.

The previous prime is 10052893. The next prime is 10052929. The reversal of 10052910 is 1925001.

10052910 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

10052910 is a modest number, since divided by 52910 gives 10 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 50932 + ... + 51128.

Almost surely, 210052910 is an apocalyptic number.

10052910 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 10052910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15581808).

10052910 is an abundant number, since it is smaller than the sum of its proper divisors (21110706).

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

10052910 is an equidigital number, since it uses as much as digits as its factorization.

10052910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 10052910 is about 3170.6324290274. The cubic root of 10052910 is about 215.8227712897.

Adding to 10052910 its reverse (1925001), we get a palindrome (11977911).

The spelling of 10052910 in words is "ten million, fifty-two thousand, nine hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 197 210 243 270 315 378 394 405 486 567 591 630 729 810 945 985 1134 1182 1215 1379 1458 1701 1773 1890 1970 2430 2758 2835 2955 3402 3546 3645 4137 5103 5319 5670 5910 6895 7290 8274 8505 8865 10206 10638 12411 13790 15957 17010 17730 20685 24822 25515 26595 31914 37233 41370 47871 51030 53190 62055 74466 79785 95742 111699 124110 143613 159570 186165 223398 239355 287226 335097 372330 478710 558495 670194 718065 1005291 1116990 1436130 1675485 2010582 3350970 5026455 10052910