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254164014 = 23313794583
BaseRepresentation
bin11110010011000…
…11110000101110
3122201020212111000
433021203300232
51010031222024
641115341130
76204233646
oct1711436056
9581225430
10254164014
11120518205
12711517a6
134086cb10
1425a81526
15174a7cc9
hexf263c2e

254164014 has 64 divisors (see below), whose sum is σ = 616089600. Its totient is φ = 77197536.

The previous prime is 254163997. The next prime is 254164021. The reversal of 254164014 is 410461452.

254164014 is a `hidden beast` number, since 2 + 5 + 4 + 1 + 640 + 14 = 666.

254164014 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53167 + ... + 57749.

It is an arithmetic number, because the mean of its divisors is an integer number (9626400).

Almost surely, 2254164014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254164014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308044800).

254164014 is an abundant number, since it is smaller than the sum of its proper divisors (361925586).

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

254164014 is a wasteful number, since it uses less digits than its factorization.

254164014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 254164014 is about 15942.5221969424. The cubic root of 254164014 is about 633.4388367790.

The spelling of 254164014 in words is "two hundred fifty-four million, one hundred sixty-four thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 79 117 158 234 237 351 474 702 711 1027 1422 2054 2133 3081 4266 4583 6162 9166 9243 13749 18486 27498 27729 41247 55458 59579 82494 119158 123741 178737 247482 357474 362057 536211 724114 1072422 1086171 1608633 2172342 3217266 3258513 4706741 6517026 9413482 9775539 14120223 19551078 28240446 42360669 84721338 127082007 254164014