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19242240 = 28355011
BaseRepresentation
bin100100101100…
…1110100000000
31100012121101120
41021121310000
514411222430
61524232240
7322361553
oct111316400
940177346
1019242240
11a952a86
12653b680
133ca9554
1427ac69a
151a51610
hex1259d00

19242240 has 72 divisors (see below), whose sum is σ = 61467168. Its totient is φ = 5130240.

The previous prime is 19242229. The next prime is 19242263. The reversal of 19242240 is 4224291.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 19242240.

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, 1335 + ... + 6345.

Almost surely, 219242240 is an apocalyptic number.

19242240 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 19242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30733584).

19242240 is an abundant number, since it is smaller than the sum of its proper divisors (42224928).

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

19242240 is an equidigital number, since it uses as much as digits as its factorization.

19242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 19242240 is about 4386.5977704823. The cubic root of 19242240 is about 267.9694032048.

The spelling of 19242240 in words is "nineteen million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 5011 10022 15033 20044 25055 30066 40088 50110 60132 75165 80176 100220 120264 150330 160352 200440 240528 300660 320704 400880 481056 601320 641408 801760 962112 1202640 1282816 1603520 1924224 2405280 3207040 3848448 4810560 6414080 9621120 19242240