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18291096 = 2335972
BaseRepresentation
bin100010111000…
…1100110011000
31021102021200000
41011301212120
514140303341
61452013000
7311320545
oct105614630
937367600
1018291096
11a36340a
126161160
133a35645
142601bcc
1519148b6
hex1171998

18291096 has 72 divisors (see below), whose sum is σ = 51908220. Its totient is φ = 6034176.

The previous prime is 18291089. The next prime is 18291101. The reversal of 18291096 is 69019281.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 18291096.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 188520 + ... + 188616.

Almost surely, 218291096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18291096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25954110).

18291096 is an abundant number, since it is smaller than the sum of its proper divisors (33617124).

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

18291096 is an frugal number, since it uses more digits than its factorization.

18291096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 18291096 is about 4276.8090908994. The cubic root of 18291096 is about 263.4793457545.

Multiplying 18291096 by its product of nonzero digits (7776), we get a square (142231562496 = 3771362).

The spelling of 18291096 in words is "eighteen million, two hundred ninety-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 97 108 162 194 216 243 291 324 388 486 582 648 776 873 972 1164 1746 1944 2328 2619 3492 5238 6984 7857 9409 10476 15714 18818 20952 23571 28227 31428 37636 47142 56454 62856 75272 84681 94284 112908 169362 188568 225816 254043 338724 508086 677448 762129 1016172 1524258 2032344 2286387 3048516 4572774 6097032 9145548 18291096