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19219920 = 2435531511
BaseRepresentation
bin100100101010…
…0010111010000
31100011110202220
41021110113100
514410014140
61523541040
7322236516
oct111242720
940143686
1019219920
11a938235
12652a780
133c9c345
1427a44b6
151a49bd0
hex12545d0

19219920 has 80 divisors (see below), whose sum is σ = 60746112. Its totient is φ = 5025280.

The previous prime is 19219919. The next prime is 19219931. The reversal of 19219920 is 2991291.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11965 + ... + 13475.

Almost surely, 219219920 is an apocalyptic number.

19219920 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 19219920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30373056).

19219920 is an abundant number, since it is smaller than the sum of its proper divisors (41526192).

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

19219920 is a wasteful number, since it uses less digits than its factorization.

19219920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 19219920 is about 4384.0529193886. The cubic root of 19219920 is about 267.8657529169.

The spelling of 19219920 in words is "nineteen million, two hundred nineteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1511 1590 2120 2544 3022 3180 4240 4533 6044 6360 7555 9066 12088 12720 15110 18132 22665 24176 30220 36264 45330 60440 72528 80083 90660 120880 160166 181320 240249 320332 362640 400415 480498 640664 800830 960996 1201245 1281328 1601660 1921992 2402490 3203320 3843984 4804980 6406640 9609960 19219920