Search a number
-
+
10140300 = 22325219593
BaseRepresentation
bin100110101011…
…101010001100
3201002011212200
4212223222030
510043442200
61001201500
7152122362
oct46535214
921064780
1010140300
1157a6615
123490290
1321406a1
1414bd632
15d54800
hex9aba8c

10140300 has 108 divisors (see below), whose sum is σ = 33513480. Its totient is φ = 2557440.

The previous prime is 10140293. The next prime is 10140301. The reversal of 10140300 is 304101.

10140300 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 (9).

It is not an unprimeable number, because it can be changed into a prime (10140301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16804 + ... + 17396.

It is an arithmetic number, because the mean of its divisors is an integer number (310310).

Almost surely, 210140300 is an apocalyptic number.

10140300 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 10140300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16756740).

10140300 is an abundant number, since it is smaller than the sum of its proper divisors (23373180).

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

10140300 is a wasteful number, since it uses less digits than its factorization.

10140300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10140300 is about 3184.3837708417. The cubic root of 10140300 is about 216.4463506711.

Adding to 10140300 its reverse (304101), we get a palindrome (10444401).

It can be divided in two parts, 10140 and 300, that added together give a triangular number (10440 = T144).

The spelling of 10140300 in words is "ten million, one hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 593 684 855 900 950 1140 1186 1425 1710 1779 1900 2372 2850 2965 3420 3558 4275 5337 5700 5930 7116 8550 8895 10674 11267 11860 14825 17100 17790 21348 22534 26685 29650 33801 35580 44475 45068 53370 56335 59300 67602 88950 101403 106740 112670 133425 135204 169005 177900 202806 225340 266850 281675 338010 405612 507015 533700 563350 676020 845025 1014030 1126700 1690050 2028060 2535075 3380100 5070150 10140300