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10159956 = 2232282221
BaseRepresentation
bin100110110000…
…011101010100
3201010011211200
4212300131110
510100104311
61001432500
7152233602
oct46603524
921104750
1010159956
11580a364
12349b730
132149611
1414c6872
15d5a556
hex9b0754

10159956 has 18 divisors (see below), whose sum is σ = 25682202. Its totient is φ = 3386640.

The previous prime is 10159949. The next prime is 10159957. The reversal of 10159956 is 65995101.

10159956 is a `hidden beast` number, since 10 + 1 + 599 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5363856 + 4796100 = 2316^2 + 2190^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 282221 = 10159956 / (1 + 0 + 1 + 5 + 9 + 9 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 10159956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10159957) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 141075 + ... + 141146.

It is an arithmetic number, because the mean of its divisors is an integer number (1426789).

Almost surely, 210159956 is an apocalyptic number.

It is an amenable number.

10159956 is an abundant number, since it is smaller than the sum of its proper divisors (15522246).

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

10159956 is a wasteful number, since it uses less digits than its factorization.

10159956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282231 (or 282226 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The square root of 10159956 is about 3187.4685880805. The cubic root of 10159956 is about 216.5861139084.

The spelling of 10159956 in words is "ten million, one hundred fifty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 282221 564442 846663 1128884 1693326 2539989 3386652 5079978 10159956