Search a number
-
+
18939840 = 2635109181
BaseRepresentation
bin100100000111…
…1111111000000
31022122020120120
41020033333000
514322033330
61513540240
7316662123
oct110177700
938566516
1018939840
11a766867
126414680
133c01a0a
1427303ba
1519e1c10
hex120ffc0

18939840 has 112 divisors (see below), whose sum is σ = 61020960. Its totient is φ = 4976640.

The previous prime is 18939803. The next prime is 18939841. The reversal of 18939840 is 4893981.

It is a junction number, because it is equal to n+sod(n) for n = 18939792 and 18939801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18939841) 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, 104550 + ... + 104730.

It is an arithmetic number, because the mean of its divisors is an integer number (544830).

Almost surely, 218939840 is an apocalyptic number.

18939840 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 18939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30510480).

18939840 is an abundant number, since it is smaller than the sum of its proper divisors (42081120).

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

18939840 is a wasteful number, since it uses less digits than its factorization.

18939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 18939840 is about 4351.9926470526. The cubic root of 18939840 is about 266.5582336923.

The spelling of 18939840 in words is "eighteen million, nine hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 109 120 160 181 192 218 240 320 327 362 436 480 543 545 654 724 872 905 960 1086 1090 1308 1448 1635 1744 1810 2172 2180 2616 2715 2896 3270 3488 3620 4344 4360 5232 5430 5792 6540 6976 7240 8688 8720 10464 10860 11584 13080 14480 17376 17440 19729 20928 21720 26160 28960 34752 34880 39458 43440 52320 57920 59187 78916 86880 98645 104640 118374 157832 173760 197290 236748 295935 315664 394580 473496 591870 631328 789160 946992 1183740 1262656 1578320 1893984 2367480 3156640 3787968 4734960 6313280 9469920 18939840