Search a number
-
+
18687420 = 223251731197
BaseRepresentation
bin100011101001…
…0010110111100
31022011102022200
41013102112330
514240444140
61504311500
7314561163
oct107222674
938142280
1018687420
11a604154
126312590
133b43b5b
1426a63da
151992030
hex11d25bc

18687420 has 144 divisors (see below), whose sum is σ = 62270208. Its totient is φ = 4515840.

The previous prime is 18687407. The next prime is 18687433. The reversal of 18687420 is 2478681.

It is an interprime number because it is at equal distance from previous prime (18687407) and next prime (18687433).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94762 + ... + 94958.

It is an arithmetic number, because the mean of its divisors is an integer number (432432).

Almost surely, 218687420 is an apocalyptic number.

18687420 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 18687420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31135104).

18687420 is an abundant number, since it is smaller than the sum of its proper divisors (43582788).

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

18687420 is a wasteful number, since it uses less digits than its factorization.

18687420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 255 counting only the distinct ones).

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

The square root of 18687420 is about 4322.8948633988. The cubic root of 18687420 is about 265.3687520933.

The spelling of 18687420 in words is "eighteen million, six hundred eighty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 31 34 36 45 51 60 62 68 85 90 93 102 124 153 155 170 180 186 197 204 255 279 306 310 340 372 394 465 510 527 558 591 612 620 765 788 930 985 1020 1054 1116 1182 1395 1530 1581 1773 1860 1970 2108 2364 2635 2790 2955 3060 3162 3349 3546 3940 4743 5270 5580 5910 6107 6324 6698 7092 7905 8865 9486 10047 10540 11820 12214 13396 15810 16745 17730 18321 18972 20094 23715 24428 30141 30535 31620 33490 35460 36642 40188 47430 50235 54963 60282 61070 66980 73284 91605 94860 100470 103819 109926 120564 122140 150705 183210 200940 207638 219852 274815 301410 311457 366420 415276 519095 549630 602820 622914 934371 1038190 1099260 1245828 1557285 1868742 2076380 3114570 3737484 4671855 6229140 9343710 18687420