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19406142 = 2347109157
BaseRepresentation
bin100101000000…
…1110100111110
31100111221020000
41022001310332
514431444032
61531535130
7323643450
oct112016476
940457200
1019406142
11aa55138
1265ba4a6
134036032
1428122d0
151a84e7c
hex1281d3e

19406142 has 80 divisors (see below), whose sum is σ = 50471520. Its totient is φ = 5458752.

The previous prime is 19406131. The next prime is 19406171. The reversal of 19406142 is 24160491.

19406142 is a `hidden beast` number, since 1 + 9 + 40 + 614 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 123528 + ... + 123684.

It is an arithmetic number, because the mean of its divisors is an integer number (630894).

Almost surely, 219406142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19406142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25235760).

19406142 is an abundant number, since it is smaller than the sum of its proper divisors (31065378).

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

19406142 is a wasteful number, since it uses less digits than its factorization.

19406142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 278 counting only the distinct ones).

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

The square root of 19406142 is about 4405.2402885654. The cubic root of 19406142 is about 268.7280918143.

The spelling of 19406142 in words is "nineteen million, four hundred six thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 109 126 157 162 189 218 314 327 378 471 567 654 763 942 981 1099 1134 1413 1526 1962 2198 2289 2826 2943 3297 4239 4578 5886 6594 6867 8478 8829 9891 12717 13734 17113 17658 19782 20601 25434 29673 34226 41202 51339 59346 61803 89019 102678 119791 123606 154017 178038 239582 308034 359373 462051 718746 924102 1078119 1386153 2156238 2772306 3234357 6468714 9703071 19406142