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10152168 = 2331322503
BaseRepresentation
bin100110101110…
…100011101000
3201002210011020
4212232203220
510044332133
61001332440
7152202105
oct46564350
921083136
1010152168
115804524
123497120
132145c00
1414c3aac
15d580b3
hex9ae8e8

10152168 has 48 divisors (see below), whose sum is σ = 27493920. Its totient is φ = 3122496.

The previous prime is 10152139. The next prime is 10152173. The reversal of 10152168 is 86125101.

10152168 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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2805 + ... + 5307.

It is an arithmetic number, because the mean of its divisors is an integer number (572790).

Almost surely, 210152168 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 10152168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13746960).

10152168 is an abundant number, since it is smaller than the sum of its proper divisors (17341752).

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

10152168 is a wasteful number, since it uses less digits than its factorization.

10152168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 10152168 is about 3186.2466947806. The cubic root of 10152168 is about 216.5307592123.

Adding to 10152168 its reverse (86125101), we get a palindrome (96277269).

The spelling of 10152168 in words is "ten million, one hundred fifty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 2503 4056 5006 7509 10012 15018 20024 30036 32539 60072 65078 97617 130156 195234 260312 390468 423007 780936 846014 1269021 1692028 2538042 3384056 5076084 10152168