Search a number
-
+
19738240 = 27530841
BaseRepresentation
bin100101101001…
…0111010000000
31101010210202221
41023102322000
520023110430
61543020424
7326525614
oct113227200
941123687
1019738240
11101616a5
12673a714
134121242
14289b344
151aed57a
hex12d2e80

19738240 has 32 divisors (see below), whose sum is σ = 47188260. Its totient is φ = 7895040.

The previous prime is 19738219. The next prime is 19738259. The reversal of 19738240 is 4283791.

It can be written as a sum of positive squares in 2 ways, for example, as 19571776 + 166464 = 4424^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 19738196 and 19738205.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14781 + ... + 16060.

Almost surely, 219738240 is an apocalyptic number.

19738240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19738240 is an abundant number, since it is smaller than the sum of its proper divisors (27450020).

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

19738240 is an equidigital number, since it uses as much as digits as its factorization.

19738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30860 (or 30848 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 19738240 is about 4442.7739082695. The cubic root of 19738240 is about 270.2523475250.

The spelling of 19738240 in words is "nineteen million, seven hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 30841 61682 123364 154205 246728 308410 493456 616820 986912 1233640 1973824 2467280 3947648 4934560 9869120 19738240