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19460142 = 23313191459
BaseRepresentation
bin100101000111…
…1000000101110
31100121200022000
41022033000232
514440211032
61533033130
7324260052
oct112170056
940550260
1019460142
11aa91769
1266257a6
1340547a0
142827c62
151a95e7c
hex128f02e

19460142 has 64 divisors (see below), whose sum is σ = 49056000. Its totient is φ = 5668704.

The previous prime is 19460101. The next prime is 19460143. The reversal of 19460142 is 24106491.

19460142 is a `hidden beast` number, since 19 + 4 + 601 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19460143) 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 31 ways as a sum of consecutive naturals, for example, 12609 + ... + 14067.

It is an arithmetic number, because the mean of its divisors is an integer number (766500).

Almost surely, 219460142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19460142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24528000).

19460142 is an abundant number, since it is smaller than the sum of its proper divisors (29595858).

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

19460142 is a wasteful number, since it uses less digits than its factorization.

19460142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 19460142 is about 4411.3650948431. The cubic root of 19460142 is about 268.9771174042.

The spelling of 19460142 in words is "nineteen million, four hundred sixty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1459 1482 2223 2918 4377 4446 6669 8754 13131 13338 18967 26262 27721 37934 39393 55442 56901 78786 83163 113802 166326 170703 249489 341406 360373 498978 512109 720746 748467 1024218 1081119 1496934 2162238 3243357 6486714 9730071 19460142