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10237290 = 235729412
BaseRepresentation
bin100111000011…
…010101101010
3201021002220220
4213003111222
510110043130
61003230510
7153005220
oct47032552
921232826
1010237290
115862478
123518436
13217588b
141506b10
15d73410
hex9c356a

10237290 has 96 divisors (see below), whose sum is σ = 29773440. Its totient is φ = 2204160.

The previous prime is 10237289. The next prime is 10237327. The reversal of 10237290 is 9273201.

10237290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10237290.

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, 249670 + ... + 249710.

It is an arithmetic number, because the mean of its divisors is an integer number (310140).

Almost surely, 210237290 is an apocalyptic number.

10237290 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 10237290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14886720).

10237290 is an abundant number, since it is smaller than the sum of its proper divisors (19536150).

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

10237290 is a wasteful number, since it uses less digits than its factorization.

10237290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 10237290 is about 3199.5765344808. The cubic root of 10237290 is about 217.1342512006.

The spelling of 10237290 in words is "ten million, two hundred thirty-seven thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 41 42 58 70 82 87 105 123 145 174 203 205 210 246 287 290 406 410 435 574 609 615 861 870 1015 1189 1218 1230 1435 1681 1722 2030 2378 2870 3045 3362 3567 4305 5043 5945 6090 7134 8323 8405 8610 10086 11767 11890 16646 16810 17835 23534 24969 25215 35301 35670 41615 48749 49938 50430 58835 70602 83230 97498 117670 124845 146247 176505 243745 249690 292494 341243 353010 487490 682486 731235 1023729 1462470 1706215 2047458 3412430 5118645 10237290