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14292138 = 2371737541
BaseRepresentation
bin110110100001…
…010010101010
3222220010010110
4312201102222
512124322023
61230155150
7232324020
oct66412252
928803113
1014292138
118081993
124952ab6
132c653b3
141c80710
1513c4a93
hexda14aa

14292138 has 64 divisors (see below), whose sum is σ = 35589888. Its totient is φ = 3732480.

The previous prime is 14292137. The next prime is 14292151. The reversal of 14292138 is 83129241.

It is a super-2 number, since 2×142921382 = 408530417222088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14292133) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 26148 + ... + 26688.

It is an arithmetic number, because the mean of its divisors is an integer number (556092).

Almost surely, 214292138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14292138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17794944).

14292138 is an abundant number, since it is smaller than the sum of its proper divisors (21297750).

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

14292138 is a wasteful number, since it uses less digits than its factorization.

14292138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607.

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

The square root of 14292138 is about 3780.4944121107. The cubic root of 14292138 is about 242.6791137834.

The spelling of 14292138 in words is "fourteen million, two hundred ninety-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 17 21 34 37 42 51 74 102 111 119 222 238 259 357 518 541 629 714 777 1082 1258 1554 1623 1887 3246 3774 3787 4403 7574 8806 9197 11361 13209 18394 20017 22722 26418 27591 40034 55182 60051 64379 120102 128758 140119 193137 280238 340289 386274 420357 680578 840714 1020867 2041734 2382023 4764046 7146069 14292138