Search a number
-
+
10752750 = 2365359
BaseRepresentation
bin101001000001…
…001011101110
3202020022000000
4221001023232
510223042000
61022245130
7160253061
oct51011356
922208000
1010752750
116084778
1237267a6
1322c6398
1415dc8d8
15e26000
hexa412ee

10752750 has 112 divisors (see below), whose sum is σ = 30691440. Its totient is φ = 2818800.

The previous prime is 10752743. The next prime is 10752757. The reversal of 10752750 is 5725701.

It is an interprime number because it is at equal distance from previous prime (10752743) and next prime (10752757).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10752757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 182221 + ... + 182279.

Almost surely, 210752750 is an apocalyptic number.

10752750 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 10752750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15345720).

10752750 is an abundant number, since it is smaller than the sum of its proper divisors (19938690).

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

10752750 is an frugal number, since it uses more digits than its factorization.

10752750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 10752750 is about 3279.1386064026. The cubic root of 10752750 is about 220.7190659186.

The spelling of 10752750 in words is "ten million, seven hundred fifty-two thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 59 75 81 90 118 125 135 150 162 177 225 243 250 270 295 354 375 405 450 486 531 590 675 729 750 810 885 1062 1125 1215 1350 1458 1475 1593 1770 2025 2250 2430 2655 2950 3186 3375 3645 4050 4425 4779 5310 6075 6750 7290 7375 7965 8850 9558 10125 12150 13275 14337 14750 15930 18225 20250 22125 23895 26550 28674 30375 36450 39825 43011 44250 47790 60750 66375 71685 79650 86022 91125 119475 132750 143370 182250 199125 215055 238950 358425 398250 430110 597375 716850 1075275 1194750 1792125 2150550 3584250 5376375 10752750