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19424840 = 2351961419
BaseRepresentation
bin100101000011…
…0011001001000
31100112212212112
41022012121020
514433043330
61532201452
7324052121
oct112063110
940485775
1019424840
11aa68196
126609288
1340416b6
142819048
151a8a795
hex1286648

19424840 has 64 divisors (see below), whose sum is σ = 46872000. Its totient is φ = 7223040.

The previous prime is 19424803. The next prime is 19424843. The reversal of 19424840 is 4842491.

It is a junction number, because it is equal to n+sod(n) for n = 19424797 and 19424806.

It is not an unprimeable number, because it can be changed into a prime (19424843) 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, 46151 + ... + 46569.

It is an arithmetic number, because the mean of its divisors is an integer number (732375).

Almost surely, 219424840 is an apocalyptic number.

19424840 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 19424840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23436000).

19424840 is an abundant number, since it is smaller than the sum of its proper divisors (27447160).

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

19424840 is a wasteful number, since it uses less digits than its factorization.

19424840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 19424840 is about 4407.3620227978. The cubic root of 19424840 is about 268.8143714562.

It can be divided in two parts, 194 and 24840, that multiplied together give a triangular number (4818960 = T3104).

The spelling of 19424840 in words is "nineteen million, four hundred twenty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 61 76 95 122 152 190 244 305 380 419 488 610 760 838 1159 1220 1676 2095 2318 2440 3352 4190 4636 5795 7961 8380 9272 11590 15922 16760 23180 25559 31844 39805 46360 51118 63688 79610 102236 127795 159220 204472 255590 318440 485621 511180 971242 1022360 1942484 2428105 3884968 4856210 9712420 19424840