[go: up one dir, main page]

Search a number
-
+
18310680 = 23325192677
BaseRepresentation
bin100010111011…
…0011000011000
31021110021112100
41011312120120
514141420210
61452243400
7311431623
oct105663030
937407470
1018310680
11a3770a3
126170560
133a4152b
142608dba
15191a5c0
hex1176618

18310680 has 96 divisors (see below), whose sum is σ = 62665200. Its totient is φ = 4624128.

The previous prime is 18310673. The next prime is 18310681. The reversal of 18310680 is 8601381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18310681) 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 23 ways as a sum of consecutive naturals, for example, 5502 + ... + 8178.

Almost surely, 218310680 is an apocalyptic number.

18310680 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 18310680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31332600).

18310680 is an abundant number, since it is smaller than the sum of its proper divisors (44354520).

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

18310680 is a wasteful number, since it uses less digits than its factorization.

18310680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 18310680 is about 4279.0980358015. The cubic root of 18310680 is about 263.5733466649.

The spelling of 18310680 in words is "eighteen million, three hundred ten thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 2677 3420 5354 6840 8031 10708 13385 16062 21416 24093 26770 32124 40155 48186 50863 53540 64248 80310 96372 101726 107080 120465 152589 160620 192744 203452 240930 254315 305178 321240 406904 457767 481860 508630 610356 762945 915534 963720 1017260 1220712 1525890 1831068 2034520 2288835 3051780 3662136 4577670 6103560 9155340 18310680