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18005274 = 23371923109
BaseRepresentation
bin100010010101…
…1110100011010
31020212202121000
41010223310122
514102132044
61441525430
7306020340
oct104536432
936782530
1018005274
11a1886a1
126043876
133965511
142569990
1518a9d69
hex112bd1a

18005274 has 128 divisors (see below), whose sum is σ = 50688000. Its totient is φ = 4618944.

The previous prime is 18005269. The next prime is 18005279. The reversal of 18005274 is 47250081.

It is an interprime number because it is at equal distance from previous prime (18005269) and next prime (18005279).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18005279) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165132 + ... + 165240.

It is an arithmetic number, because the mean of its divisors is an integer number (396000).

Almost surely, 218005274 is an apocalyptic number.

18005274 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18005274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25344000).

18005274 is an abundant number, since it is smaller than the sum of its proper divisors (32682726).

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

18005274 is a wasteful number, since it uses less digits than its factorization.

18005274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 18005274 is about 4243.2621884583. The cubic root of 18005274 is about 262.0997328290.

The spelling of 18005274 in words is "eighteen million, five thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 23 27 38 42 46 54 57 63 69 109 114 126 133 138 161 171 189 207 218 266 322 327 342 378 399 414 437 483 513 621 654 763 798 874 966 981 1026 1197 1242 1311 1449 1526 1962 2071 2289 2394 2507 2622 2898 2943 3059 3591 3933 4142 4347 4578 5014 5886 6118 6213 6867 7182 7521 7866 8694 9177 11799 12426 13734 14497 15042 17549 18354 18639 20601 22563 23598 27531 28994 35098 37278 41202 43491 45126 47633 52647 55062 55917 67689 82593 86982 95266 105294 111834 130473 135378 142899 157941 165186 260946 285798 315882 333431 391419 428697 473823 666862 782838 857394 947646 1000293 1286091 2000586 2572182 3000879 6001758 9002637 18005274