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10485750 = 2353113141
BaseRepresentation
bin100111111111…
…111111110110
3201201201202010
4213333333312
510141021000
61012425050
7155061462
oct47777766
921651663
1010485750
115a12110
123618186
1322319b2
14156d4a2
15dc1d50
hex9ffff6

10485750 has 128 divisors (see below), whose sum is σ = 30191616. Its totient is φ = 2400000.

The previous prime is 10485731. The next prime is 10485751. The reversal of 10485750 is 5758401.

10485750 is nontrivially palindromic in base 4.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10485751) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255730 + ... + 255770.

It is an arithmetic number, because the mean of its divisors is an integer number (235872).

Almost surely, 210485750 is an apocalyptic number.

10485750 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 10485750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095808).

10485750 is an abundant number, since it is smaller than the sum of its proper divisors (19705866).

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

10485750 is a wasteful number, since it uses less digits than its factorization.

10485750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 10485750 is about 3238.1707799312. The cubic root of 10485750 is about 218.8768515955.

The spelling of 10485750 in words is "ten million, four hundred eighty-five thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 31 33 41 50 55 62 66 75 82 93 110 123 125 150 155 165 186 205 246 250 275 310 330 341 375 410 451 465 550 615 682 750 775 825 902 930 1023 1025 1230 1271 1353 1375 1550 1650 1705 2046 2050 2255 2325 2542 2706 2750 3075 3410 3813 3875 4125 4510 4650 5115 5125 6150 6355 6765 7626 7750 8250 8525 10230 10250 11275 11625 12710 13530 13981 15375 17050 19065 22550 23250 25575 27962 30750 31775 33825 38130 41943 42625 51150 56375 63550 67650 69905 83886 85250 95325 112750 127875 139810 158875 169125 190650 209715 255750 317750 338250 349525 419430 476625 699050 953250 1048575 1747625 2097150 3495250 5242875 10485750