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19744140 = 223513171489
BaseRepresentation
bin100101101010…
…0010110001100
31101011002212110
41023110112030
520023303030
61543104020
7326552043
oct113242614
941132773
1019744140
1110166079
126742010
134123b30
14289d55a
151b001b0
hex12d458c

19744140 has 96 divisors (see below), whose sum is σ = 63080640. Its totient is φ = 4571136.

The previous prime is 19744133. The next prime is 19744141. The reversal of 19744140 is 4144791.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 19744098 and 19744107.

It is not an unprimeable number, because it can be changed into a prime (19744141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12516 + ... + 14004.

It is an arithmetic number, because the mean of its divisors is an integer number (657090).

Almost surely, 219744140 is an apocalyptic number.

19744140 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 19744140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31540320).

19744140 is an abundant number, since it is smaller than the sum of its proper divisors (43336500).

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

19744140 is a wasteful number, since it uses less digits than its factorization.

19744140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 19744140 is about 4443.4378582354. The cubic root of 19744140 is about 270.2792720804.

The spelling of 19744140 in words is "nineteen million, seven hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 1489 2210 2652 2978 3315 4420 4467 5956 6630 7445 8934 13260 14890 17868 19357 22335 25313 29780 38714 44670 50626 58071 75939 77428 89340 96785 101252 116142 126565 151878 193570 232284 253130 290355 303756 329069 379695 387140 506260 580710 658138 759390 987207 1161420 1316276 1518780 1645345 1974414 3290690 3948828 4936035 6581380 9872070 19744140