Search a number
-
+
19408440 = 2335197821
BaseRepresentation
bin100101000001…
…0011000111000
31100112001101010
41022002120320
514432032230
61531553520
7323653242
oct112023070
940461333
1019408440
11aa56937
1265bb8a0
1340370ac
142813092
151a859b0
hex1282638

19408440 has 64 divisors (see below), whose sum is σ = 58592160. Its totient is φ = 5143040.

The previous prime is 19408429. The next prime is 19408469. The reversal of 19408440 is 4480491.

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 = 19408398 and 19408407.

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, 23230 + ... + 24050.

Almost surely, 219408440 is an apocalyptic number.

19408440 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 19408440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29296080).

19408440 is an abundant number, since it is smaller than the sum of its proper divisors (39183720).

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

19408440 is a wasteful number, since it uses less digits than its factorization.

19408440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 19408440 is about 4405.5011065712. The cubic root of 19408440 is about 268.7386986414.

The spelling of 19408440 in words is "nineteen million, four hundred eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 197 394 591 788 821 985 1182 1576 1642 1970 2364 2463 2955 3284 3940 4105 4728 4926 5910 6568 7880 8210 9852 11820 12315 16420 19704 23640 24630 32840 49260 98520 161737 323474 485211 646948 808685 970422 1293896 1617370 1940844 2426055 3234740 3881688 4852110 6469480 9704220 19408440