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10162064 = 2411229181
BaseRepresentation
bin100110110000…
…111110010000
3201010021201202
4212300332100
510100141224
61001450332
7152243003
oct46607620
921107652
1010162064
115810a00
1234a09a8
13214a573
1414c753a
15d5aeae
hex9b0f90

10162064 has 60 divisors (see below), whose sum is σ = 22511580. Its totient is φ = 4435200.

The previous prime is 10162043. The next prime is 10162099. The reversal of 10162064 is 46026101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1982464 + 8179600 = 1408^2 + 2860^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56054 + ... + 56234.

It is an arithmetic number, because the mean of its divisors is an integer number (375193).

Almost surely, 210162064 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 10162064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11255790).

10162064 is an abundant number, since it is smaller than the sum of its proper divisors (12349516).

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

10162064 is a wasteful number, since it uses less digits than its factorization.

10162064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10162064 is about 3187.7992408557. The cubic root of 10162064 is about 216.6010920558.

Adding to 10162064 its reverse (46026101), we get a palindrome (56188165).

The spelling of 10162064 in words is "ten million, one hundred sixty-two thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 121 176 181 232 242 319 362 464 484 638 724 968 1276 1448 1936 1991 2552 2896 3509 3982 5104 5249 7018 7964 10498 14036 15928 20996 21901 28072 31856 41992 43802 56144 57739 83984 87604 115478 175208 230956 350416 461912 635129 923824 1270258 2540516 5081032 10162064