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18669040 = 2451329619
BaseRepresentation
bin100011100110…
…1110111110000
31022010111002221
41013031313300
514234402130
61504050424
7314453455
oct107156760
938114087
1018669040
11a5a1365
126303a14
133b38690
14269d82c
15198b87a
hex11cddf0

18669040 has 80 divisors (see below), whose sum is σ = 48434400. Its totient is φ = 6644736.

The previous prime is 18669029. The next prime is 18669047. The reversal of 18669040 is 4096681.

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

It is a junction number, because it is equal to n+sod(n) for n = 18668987 and 18669005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18669047) 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, 29851 + ... + 30469.

It is an arithmetic number, because the mean of its divisors is an integer number (605430).

Almost surely, 218669040 is an apocalyptic number.

18669040 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 18669040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24217200).

18669040 is an abundant number, since it is smaller than the sum of its proper divisors (29765360).

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

18669040 is a wasteful number, since it uses less digits than its factorization.

18669040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 18669040 is about 4320.7684501718. The cubic root of 18669040 is about 265.2817224656.

The spelling of 18669040 in words is "eighteen million, six hundred sixty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 208 232 260 290 377 464 520 580 619 754 1040 1160 1238 1508 1885 2320 2476 3016 3095 3770 4952 6032 6190 7540 8047 9904 12380 15080 16094 17951 24760 30160 32188 35902 40235 49520 64376 71804 80470 89755 128752 143608 160940 179510 233363 287216 321880 359020 466726 643760 718040 933452 1166815 1436080 1866904 2333630 3733808 4667260 9334520 18669040