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19141272 = 2334109271
BaseRepresentation
bin100100100000…
…1001010011000
31100000110220000
41021001022120
514400010042
61522133000
7321461313
oct111011230
940013800
1019141272
11a894137
1264b1160
133c725c7
14278397a
151a3174c
hex1241298

19141272 has 80 divisors (see below), whose sum is σ = 54304800. Its totient is φ = 6298560.

The previous prime is 19141259. The next prime is 19141279. The reversal of 19141272 is 27214191.

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 (19141279) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 70497 + ... + 70767.

It is an arithmetic number, because the mean of its divisors is an integer number (678810).

Almost surely, 219141272 is an apocalyptic number.

19141272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19141272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27152400).

19141272 is an abundant number, since it is smaller than the sum of its proper divisors (35163528).

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

19141272 is a wasteful number, since it uses less digits than its factorization.

19141272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 385 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 19141272 is about 4375.0739422323. The cubic root of 19141272 is about 267.4998841237.

The spelling of 19141272 in words is "nineteen million, one hundred forty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 109 162 216 218 271 324 327 436 542 648 654 813 872 981 1084 1308 1626 1962 2168 2439 2616 2943 3252 3924 4878 5886 6504 7317 7848 8829 9756 11772 14634 17658 19512 21951 23544 29268 29539 35316 43902 58536 59078 70632 87804 88617 118156 175608 177234 236312 265851 354468 531702 708936 797553 1063404 1595106 2126808 2392659 3190212 4785318 6380424 9570636 19141272