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18681408 = 263319569
BaseRepresentation
bin100011101000…
…0111001000000
31022011010002000
41013100321000
514240301113
61504224000
7314534514
oct107207100
938133060
1018681408
11a5aa689
12630b000
133b411b5
1426a4144
151990373
hex11d0e40

18681408 has 112 divisors (see below), whose sum is σ = 57912000. Its totient is φ = 5889024.

The previous prime is 18681373. The next prime is 18681431. The reversal of 18681408 is 80418681.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32548 + ... + 33116.

Almost surely, 218681408 is an apocalyptic number.

18681408 is a gapful number since it is divisible by the number (18) 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 18681408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28956000).

18681408 is an abundant number, since it is smaller than the sum of its proper divisors (39230592).

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

18681408 is a wasteful number, since it uses less digits than its factorization.

18681408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 18681408 is about 4322.1994400999. The cubic root of 18681408 is about 265.3402914488.

The spelling of 18681408 in words is "eighteen million, six hundred eighty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 569 576 608 684 864 912 1026 1138 1216 1368 1707 1728 1824 2052 2276 2736 3414 3648 4104 4552 5121 5472 6828 8208 9104 10242 10811 10944 13656 15363 16416 18208 20484 21622 27312 30726 32433 32832 36416 40968 43244 54624 61452 64866 81936 86488 97299 109248 122904 129732 163872 172976 194598 245808 259464 291897 327744 345952 389196 491616 518928 583794 691904 778392 983232 1037856 1167588 1556784 2075712 2335176 3113568 4670352 6227136 9340704 18681408