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18145080 = 2333553317
BaseRepresentation
bin100010100110…
…1111100111000
31021010212101000
41011031330320
514121120310
61444525000
7310142052
oct105157470
937125330
1018145080
11a273738
1260b0760
1339b4045
1425a48d2
1518d64c0
hex114df38

18145080 has 128 divisors (see below), whose sum is σ = 61819200. Its totient is φ = 4732416.

The previous prime is 18145073. The next prime is 18145087. The reversal of 18145080 is 8054181.

It is an interprime number because it is at equal distance from previous prime (18145073) and next prime (18145087).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18145087) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 57082 + ... + 57398.

Almost surely, 218145080 is an apocalyptic number.

18145080 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 18145080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30909600).

18145080 is an abundant number, since it is smaller than the sum of its proper divisors (43674120).

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

18145080 is a wasteful number, since it uses less digits than its factorization.

18145080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 18145080 is about 4259.7042150835. The cubic root of 18145080 is about 262.7763620031.

The spelling of 18145080 in words is "eighteen million, one hundred forty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 90 106 108 120 135 159 180 212 216 265 270 317 318 360 424 477 530 540 634 636 795 951 954 1060 1080 1268 1272 1431 1585 1590 1902 1908 2120 2385 2536 2853 2862 3170 3180 3804 3816 4755 4770 5706 5724 6340 6360 7155 7608 8559 9510 9540 11412 11448 12680 14265 14310 16801 17118 19020 19080 22824 28530 28620 33602 34236 38040 42795 50403 57060 57240 67204 68472 84005 85590 100806 114120 134408 151209 168010 171180 201612 252015 302418 336020 342360 403224 453627 504030 604836 672040 756045 907254 1008060 1209672 1512090 1814508 2016120 2268135 3024180 3629016 4536270 6048360 9072540 18145080