[go: up one dir, main page]

Search a number
-
+
19219840 = 27559509
BaseRepresentation
bin100100101010…
…0010110000000
31100011110122221
41021110112000
514410013330
61523540424
7322236343
oct111242600
940143587
1019219840
11a938172
12652a714
133c9c2b3
1427a445a
151a49b7a
hex1254580

19219840 has 64 divisors (see below), whose sum is σ = 46818000. Its totient is φ = 7542784.

The previous prime is 19219829. The next prime is 19219853. The reversal of 19219840 is 4891291.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 19219796 and 19219805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37506 + ... + 38014.

Almost surely, 219219840 is an apocalyptic number.

19219840 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 19219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23409000).

19219840 is an abundant number, since it is smaller than the sum of its proper divisors (27598160).

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

19219840 is an equidigital number, since it uses as much as digits as its factorization.

19219840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 19219840 is about 4384.0437954017. The cubic root of 19219840 is about 267.8653812662.

The spelling of 19219840 in words is "nineteen million, two hundred nineteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 128 160 236 295 320 472 509 590 640 944 1018 1180 1888 2036 2360 2545 3776 4072 4720 5090 7552 8144 9440 10180 16288 18880 20360 30031 32576 37760 40720 60062 65152 81440 120124 150155 162880 240248 300310 325760 480496 600620 960992 1201240 1921984 2402480 3843968 4804960 9609920 19219840