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10152349 = 172920593
BaseRepresentation
bin100110101110…
…100110011101
3201002210101221
4212232212131
510044333344
61001333341
7152202454
oct46564635
921083357
1010152349
115804679
123497251
13214600c
1414c3b9b
15d58184
hex9ae99d

10152349 has 8 divisors (see below), whose sum is σ = 11120760. Its totient is φ = 9225216.

The previous prime is 10152347. The next prime is 10152367. The reversal of 10152349 is 94325101.

10152349 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5846724 + 4305625 = 2418^2 + 2075^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10152349 - 21 = 10152347 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10152347) 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, 9804 + ... + 10789.

It is an arithmetic number, because the mean of its divisors is an integer number (1390095).

Almost surely, 210152349 is an apocalyptic number.

It is an amenable number.

10152349 is a deficient number, since it is larger than the sum of its proper divisors (968411).

10152349 is a wasteful number, since it uses less digits than its factorization.

10152349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20639.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 10152349 is about 3186.2750979788. The cubic root of 10152349 is about 216.5320460256.

It can be divided in two parts, 10152 and 349, that added together give a palindrome (10501).

The spelling of 10152349 in words is "ten million, one hundred fifty-two thousand, three hundred forty-nine".

Divisors: 1 17 29 493 20593 350081 597197 10152349