Search a number
-
+
254770012 = 22721937432
BaseRepresentation
bin11110010111101…
…11101101011100
3122202101122202101
433023313231130
51010210120022
641140334444
76212336500
oct1713675534
9582348671
10254770012
111208a1532
12713a4424
1340a228b3
1425b9c300
1517577627
hexf2f7b5c

254770012 has 108 divisors (see below), whose sum is σ = 574033320. Its totient is φ = 98304192.

The previous prime is 254769971. The next prime is 254770013. The reversal of 254770012 is 210077452.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254770013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5924863 + ... + 5924905.

Almost surely, 2254770012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254770012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287016660).

254770012 is an abundant number, since it is smaller than the sum of its proper divisors (319263308).

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

254770012 is a wasteful number, since it uses less digits than its factorization.

254770012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 254770012 is about 15961.5165946097. The cubic root of 254770012 is about 633.9418689051.

The spelling of 254770012 in words is "two hundred fifty-four million, seven hundred seventy thousand, twelve".

Divisors: 1 2 4 7 14 19 28 37 38 43 49 74 76 86 98 133 148 172 196 259 266 301 518 532 602 703 817 931 1036 1204 1406 1591 1634 1813 1849 1862 2107 2812 3182 3268 3626 3698 3724 4214 4921 5719 6364 7252 7396 8428 9842 11137 11438 12943 19684 22274 22876 25886 30229 34447 35131 40033 44548 51772 60458 68413 68894 70262 77959 80066 90601 120916 136826 137788 140524 155918 160132 181202 211603 245917 273652 311836 362404 423206 478891 491834 846412 957782 983668 1299847 1481221 1721419 1915564 2599694 2962442 3352237 3442838 5199388 5924884 6704474 6885676 9098929 13408948 18197858 36395716 63692503 127385006 254770012