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18292134 = 2373779149
BaseRepresentation
bin100010111000…
…1110110100110
31021102100002110
41011301312212
514140322014
61452021450
7311323560
oct105616646
937370073
1018292134
11a364173
126161886
133a35c63
142602330
151914d59
hex1171da6

18292134 has 64 divisors (see below), whose sum is σ = 43776000. Its totient is φ = 4987008.

The previous prime is 18292133. The next prime is 18292151. The reversal of 18292134 is 43129281.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18292133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122692 + ... + 122840.

It is an arithmetic number, because the mean of its divisors is an integer number (684000).

Almost surely, 218292134 is an apocalyptic number.

18292134 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 18292134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21888000).

18292134 is an abundant number, since it is smaller than the sum of its proper divisors (25483866).

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

18292134 is a wasteful number, since it uses less digits than its factorization.

18292134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277.

The product of its digits is 3456, while the sum is 30.

The square root of 18292134 is about 4276.9304413329. The cubic root of 18292134 is about 263.4843297166.

The spelling of 18292134 in words is "eighteen million, two hundred ninety-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 37 42 74 79 111 149 158 222 237 259 298 447 474 518 553 777 894 1043 1106 1554 1659 2086 2923 3129 3318 5513 5846 6258 8769 11026 11771 16539 17538 20461 23542 33078 35313 38591 40922 61383 70626 77182 82397 115773 122766 164794 231546 247191 435527 494382 871054 1306581 2613162 3048689 6097378 9146067 18292134