Search a number
-
+
18742680 = 23325114733
BaseRepresentation
bin100011101111…
…1110110011000
31022021020010100
41013133312120
514244231210
61505415400
7315211245
oct107376630
938236110
1018742680
11a641720
12633a560
133b63058
1426bc5cc
1519a35c0
hex11dfd98

18742680 has 96 divisors (see below), whose sum is σ = 66465360. Its totient is φ = 4542720.

The previous prime is 18742679. The next prime is 18742681. The reversal of 18742680 is 8624781.

It is an interprime number because it is at equal distance from previous prime (18742679) and next prime (18742681).

It is a super-3 number, since 3×187426803 (a number of 23 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18742681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1594 + ... + 6326.

Almost surely, 218742680 is an apocalyptic number.

18742680 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 18742680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33232680).

18742680 is an abundant number, since it is smaller than the sum of its proper divisors (47722680).

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

18742680 is a wasteful number, since it uses less digits than its factorization.

18742680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 18742680 is about 4329.2816956165. The cubic root of 18742680 is about 265.6300659703.

It can be divided in two parts, 1874 and 2680, that added together give a palindrome (4554).

The spelling of 18742680 in words is "eighteen million, seven hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 4733 9466 14199 18932 23665 28398 37864 42597 47330 52063 56796 70995 85194 94660 104126 113592 141990 156189 170388 189320 208252 212985 260315 283980 312378 340776 416504 425970 468567 520630 567960 624756 780945 851940 937134 1041260 1249512 1561890 1703880 1874268 2082520 2342835 3123780 3748536 4685670 6247560 9371340 18742680