Search a number
-
+
10258300 = 2252132607
BaseRepresentation
bin100111001000…
…011101111100
3201022011202001
4213020131330
510111231200
61003512044
7153123403
oct47103574
921264661
1010258300
115877238
123528624
132182300
14151063a
15d7976a
hex9c877c

10258300 has 54 divisors (see below), whose sum is σ = 24144288. Its totient is φ = 3781440.

The previous prime is 10258289. The next prime is 10258301. The reversal of 10258300 is 385201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10258301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16597 + ... + 17203.

Almost surely, 210258300 is an apocalyptic number.

10258300 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 10258300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12072144).

10258300 is an abundant number, since it is smaller than the sum of its proper divisors (13885988).

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

10258300 is a wasteful number, since it uses less digits than its factorization.

10258300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 10258300 is about 3202.8580986363. The cubic root of 10258300 is about 217.2826913090.

The spelling of 10258300 in words is "ten million, two hundred fifty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 607 650 676 845 1214 1300 1690 2428 3035 3380 4225 6070 7891 8450 12140 15175 15782 16900 30350 31564 39455 60700 78910 102583 157820 197275 205166 394550 410332 512915 789100 1025830 2051660 2564575 5129150 10258300