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18154980 = 22325172349
BaseRepresentation
bin100010101000…
…0010111100100
31021011100221200
41011100113210
514121424410
61445042500
7310212654
oct105202744
937140850
1018154980
11a280118
1260b6430
1339b86bc
1425a8364
1518d93c0
hex11505e4

18154980 has 108 divisors (see below), whose sum is σ = 58667700. Its totient is φ = 4543488.

The previous prime is 18154979. The next prime is 18154999. The reversal of 18154980 is 8945181.

18154980 = T200 + T201 + ... + T488.

It can be written as a sum of positive squares in 6 ways, for example, as 2090916 + 16064064 = 1446^2 + 4008^2 .

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51846 + ... + 52194.

Almost surely, 218154980 is an apocalyptic number.

18154980 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 18154980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29333850).

18154980 is an abundant number, since it is smaller than the sum of its proper divisors (40512720).

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

18154980 is a wasteful number, since it uses less digits than its factorization.

18154980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 18154980 is about 4260.8661091379. The cubic root of 18154980 is about 262.8241437893.

The spelling of 18154980 in words is "eighteen million, one hundred fifty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 289 306 340 349 510 578 612 698 765 867 1020 1047 1156 1396 1445 1530 1734 1745 2094 2601 2890 3060 3141 3468 3490 4188 4335 5202 5235 5780 5933 6282 6980 8670 10404 10470 11866 12564 13005 15705 17340 17799 20940 23732 26010 29665 31410 35598 52020 53397 59330 62820 71196 88995 100861 106794 118660 177990 201722 213588 266985 302583 355980 403444 504305 533970 605166 907749 1008610 1067940 1210332 1512915 1815498 2017220 3025830 3630996 4538745 6051660 9077490 18154980