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10140312 = 2337134643
BaseRepresentation
bin100110101011…
…101010011000
3201002011220010
4212223222120
510043442222
61001201520
7152122410
oct46535230
921064803
1010140312
1157a6626
1234902a0
1321406b0
1414bd640
15d5480c
hex9aba98

10140312 has 64 divisors (see below), whose sum is σ = 31207680. Its totient is φ = 2673792.

The previous prime is 10140311. The next prime is 10140323. The reversal of 10140312 is 21304101.

It is a happy number.

10140312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10140312 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138 + ... + 4505.

It is an arithmetic number, because the mean of its divisors is an integer number (487620).

Almost surely, 210140312 is an apocalyptic number.

10140312 is a gapful number since it is divisible by the number (12) 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 10140312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15603840).

10140312 is an abundant number, since it is smaller than the sum of its proper divisors (21067368).

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

10140312 is a wasteful number, since it uses less digits than its factorization.

10140312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4672 (or 4668 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10140312 is about 3184.3856550361. The cubic root of 10140312 is about 216.4464360517.

Adding to 10140312 its reverse (21304101), we get a palindrome (31444413).

The spelling of 10140312 in words is "ten million, one hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 4643 9286 13929 18572 27858 32501 37144 55716 60359 65002 97503 111432 120718 130004 181077 195006 241436 260008 362154 390012 422513 482872 724308 780024 845026 1267539 1448616 1690052 2535078 3380104 5070156 10140312