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10140368 = 247372447
BaseRepresentation
bin100110101011…
…101011010000
3201002011222012
4212223223100
510043442433
61001202052
7152122520
oct46535320
921064865
1010140368
1157a6677
123490328
132140724
1414bd680
15d54848
hex9abad0

10140368 has 40 divisors (see below), whose sum is σ = 23069952. Its totient is φ = 4226688.

The previous prime is 10140367. The next prime is 10140371. The reversal of 10140368 is 86304101.

10140368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2921 + ... + 5367.

Almost surely, 210140368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11534976).

10140368 is an abundant number, since it is smaller than the sum of its proper divisors (12929584).

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

10140368 is a wasteful number, since it uses less digits than its factorization.

10140368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 10140368 is about 3184.3944479288. The cubic root of 10140368 is about 216.4468344937.

Adding to 10140368 its reverse (86304101), we get a palindrome (96444469).

The spelling of 10140368 in words is "ten million, one hundred forty thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 2072 2447 4144 4894 9788 17129 19576 34258 39152 68516 90539 137032 181078 274064 362156 633773 724312 1267546 1448624 2535092 5070184 10140368