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19874140 = 22511136949
BaseRepresentation
bin100101111010…
…0000101011100
31101101201012021
41023310011130
520041433030
61545545524
7330633046
oct113640534
941351167
1019874140
1110244810
1267a52a4
13416b060
1428d4a96
151b2897a
hex12f415c

19874140 has 48 divisors (see below), whose sum is σ = 49039200. Its totient is φ = 6670080.

The previous prime is 19874137. The next prime is 19874149. The reversal of 19874140 is 4147891.

It is a junction number, because it is equal to n+sod(n) for n = 19874096 and 19874105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19874149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615 + ... + 6334.

It is an arithmetic number, because the mean of its divisors is an integer number (1021650).

Almost surely, 219874140 is an apocalyptic number.

19874140 is a gapful number since it is divisible by the number (10) 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 19874140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24519600).

19874140 is an abundant number, since it is smaller than the sum of its proper divisors (29165060).

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

19874140 is a wasteful number, since it uses less digits than its factorization.

19874140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6982 (or 6980 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 19874140 is about 4458.0421711778. The cubic root of 19874140 is about 270.8711687312.

The spelling of 19874140 in words is "nineteen million, eight hundred seventy-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 6949 13898 27796 34745 69490 76439 90337 138980 152878 180674 305756 361348 382195 451685 764390 903370 993707 1528780 1806740 1987414 3974828 4968535 9937070 19874140