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18374040 = 2334553107
BaseRepresentation
bin100011000010…
…1110110011000
31021120111110000
41012011312120
514200432130
61453453000
7312114426
oct106056630
937514400
1018374040
11a40a763
1261a1160
133a64319
142624116
15192e260
hex1185d98

18374040 has 160 divisors (see below), whose sum is σ = 63510480. Its totient is φ = 4762368.

The previous prime is 18374011. The next prime is 18374047. The reversal of 18374040 is 4047381.

18374040 = T261 + T262 + ... + T503.

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

It is a junction number, because it is equal to n+sod(n) for n = 18373995 and 18374013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18374047) 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 39 ways as a sum of consecutive naturals, for example, 171667 + ... + 171773.

Almost surely, 218374040 is an apocalyptic number.

18374040 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 18374040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31755240).

18374040 is an abundant number, since it is smaller than the sum of its proper divisors (45136440).

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

18374040 is a wasteful number, since it uses less digits than its factorization.

18374040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 18374040 is about 4286.4950717340. The cubic root of 18374040 is about 263.8770088260.

The spelling of 18374040 in words is "eighteen million, three hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 81 90 106 107 108 120 135 159 162 180 212 214 216 265 270 318 321 324 360 405 424 428 477 530 535 540 636 642 648 795 810 856 954 963 1060 1070 1080 1272 1284 1431 1590 1605 1620 1908 1926 2120 2140 2385 2568 2862 2889 3180 3210 3240 3816 3852 4280 4293 4770 4815 5671 5724 5778 6360 6420 7155 7704 8586 8667 9540 9630 11342 11448 11556 12840 14310 14445 17013 17172 17334 19080 19260 21465 22684 23112 28355 28620 28890 34026 34344 34668 38520 42930 43335 45368 51039 56710 57240 57780 68052 69336 85065 85860 86670 102078 113420 115560 136104 153117 170130 171720 173340 204156 226840 255195 306234 340260 346680 408312 459351 510390 612468 680520 765585 918702 1020780 1224936 1531170 1837404 2041560 2296755 3062340 3674808 4593510 6124680 9187020 18374040