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18910368 = 253343509
BaseRepresentation
bin100100000100…
…0110010100000
31022120202011000
41020020302200
514320112433
61513152000
7316510161
oct110106240
938522130
1018910368
11a746704
1263bb600
133bc1489
142723768
1519d8113
hex1208ca0

18910368 has 96 divisors (see below), whose sum is σ = 56548800. Its totient is φ = 6144768.

The previous prime is 18910363. The next prime is 18910369. The reversal of 18910368 is 86301981.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (18910363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36898 + ... + 37406.

It is an arithmetic number, because the mean of its divisors is an integer number (589050).

Almost surely, 218910368 is an apocalyptic number.

18910368 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 18910368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28274400).

18910368 is an abundant number, since it is smaller than the sum of its proper divisors (37638432).

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

18910368 is a wasteful number, since it uses less digits than its factorization.

18910368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 18910368 is about 4348.6052936545. The cubic root of 18910368 is about 266.4198994956.

The spelling of 18910368 in words is "eighteen million, nine hundred ten thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 86 96 108 129 144 172 216 258 288 344 387 432 509 516 688 774 864 1018 1032 1161 1376 1527 1548 2036 2064 2322 3054 3096 4072 4128 4581 4644 6108 6192 8144 9162 9288 12216 12384 13743 16288 18324 18576 21887 24432 27486 36648 37152 43774 48864 54972 65661 73296 87548 109944 131322 146592 175096 196983 219888 262644 350192 393966 439776 525288 590949 700384 787932 1050576 1181898 1575864 2101152 2363796 3151728 4727592 6303456 9455184 18910368