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10133144 = 237180949
BaseRepresentation
bin100110101001…
…111010011000
3201001211001122
4212221322120
510043230034
61001104412
7152062460
oct46517230
921054048
1010133144
1157a11aa
123488108
13213a358
1414baba0
15d5262e
hex9a9e98

10133144 has 16 divisors (see below), whose sum is σ = 21714000. Its totient is φ = 4342752.

The previous prime is 10133143. The next prime is 10133159. The reversal of 10133144 is 44133101.

10133144 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

10133144 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 90419 + ... + 90530.

It is an arithmetic number, because the mean of its divisors is an integer number (1357125).

Almost surely, 210133144 is an apocalyptic number.

10133144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10133144 is an abundant number, since it is smaller than the sum of its proper divisors (11580856).

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

10133144 is a wasteful number, since it uses less digits than its factorization.

10133144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180962 (or 180958 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 10133144 is about 3183.2599642505. The cubic root of 10133144 is about 216.3954233620.

Adding to 10133144 its reverse (44133101), we get a palindrome (54266245).

The spelling of 10133144 in words is "ten million, one hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 180949 361898 723796 1266643 1447592 2533286 5066572 10133144