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254113002 = 2321113269367
BaseRepresentation
bin11110010010101…
…11010011101010
3122201011021111200
433021113103222
51010023104002
641114305030
76203632143
oct1711272352
9581137450
10254113002
11120492950
1271128176
1340852830
1425a6aaca
1517497b1c
hexf2574ea

254113002 has 96 divisors (see below), whose sum is σ = 651006720. Its totient is φ = 70623360.

The previous prime is 254113001. The next prime is 254113009. The reversal of 254113002 is 200311452.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (254113001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692223 + ... + 692589.

It is an arithmetic number, because the mean of its divisors is an integer number (6781320).

Almost surely, 2254113002 is an apocalyptic number.

254113002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 254113002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325503360).

254113002 is an abundant number, since it is smaller than the sum of its proper divisors (396893718).

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

254113002 is a wasteful number, since it uses less digits than its factorization.

254113002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 254113002 is about 15940.9222443371. The cubic root of 254113002 is about 633.3964558200.

Adding to 254113002 its reverse (200311452), we get a palindrome (454424454).

The spelling of 254113002 in words is "two hundred fifty-four million, one hundred thirteen thousand, two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 269 286 367 429 538 734 807 858 1101 1287 1614 2202 2421 2574 2959 3303 3497 4037 4771 4842 5918 6606 6994 8074 8877 9542 10491 12111 14313 17754 20982 24222 26631 28626 31473 36333 38467 42939 52481 53262 62946 72666 76934 85878 98723 104962 115401 157443 197446 230802 296169 314886 346203 472329 592338 692406 888507 944658 1085953 1283399 1777014 2171906 2566798 3257859 3850197 6515718 7700394 9773577 11550591 14117389 19547154 23101182 28234778 42352167 84704334 127056501 254113002