Search a number
-
+
18403680 = 2535231667
BaseRepresentation
bin100011000110…
…1000101100000
31021122000002210
41012031011200
514202404210
61454242120
7312300021
oct106150540
937560083
1018403680
11a42aa59
1261b6340
133a74969
142630c48
151937e20
hex118d160

18403680 has 96 divisors (see below), whose sum is σ = 60528384. Its totient is φ = 4691456.

The previous prime is 18403663. The next prime is 18403709. The reversal of 18403680 is 8630481.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 10207 + ... + 11873.

It is an arithmetic number, because the mean of its divisors is an integer number (630504).

Almost surely, 218403680 is an apocalyptic number.

18403680 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 18403680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30264192).

18403680 is an abundant number, since it is smaller than the sum of its proper divisors (42124704).

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

18403680 is a wasteful number, since it uses less digits than its factorization.

18403680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1700 counting only the distinct ones).

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

The square root of 18403680 is about 4289.9510486718. The cubic root of 18403680 is about 264.0188232676.

The spelling of 18403680 in words is "eighteen million, four hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1667 1840 2208 2760 3334 3680 5001 5520 6668 8335 10002 11040 13336 16670 20004 25005 26672 33340 38341 40008 50010 53344 66680 76682 80016 100020 115023 133360 153364 160032 191705 200040 230046 266720 306728 383410 400080 460092 575115 613456 766820 800160 920184 1150230 1226912 1533640 1840368 2300460 3067280 3680736 4600920 6134560 9201840 18403680