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254628140 = 225134767311
BaseRepresentation
bin11110010110101…
…01000100101100
3122202010110010212
433023111010230
51010141100030
641133321552
76211206044
oct1713250454
9582113125
10254628140
11120804988
12713362b8
13409a3150
1425b62724
151754a595
hexf2d512c

254628140 has 96 divisors (see below), whose sum is σ = 598800384. Its totient is φ = 90351360.

The previous prime is 254628131. The next prime is 254628151. The reversal of 254628140 is 41826452.

254628140 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 254628097 and 254628106.

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, 818585 + ... + 818895.

It is an arithmetic number, because the mean of its divisors is an integer number (6237504).

Almost surely, 2254628140 is an apocalyptic number.

254628140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254628140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299400192).

254628140 is an abundant number, since it is smaller than the sum of its proper divisors (344172244).

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

254628140 is a wasteful number, since it uses less digits than its factorization.

254628140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 254628140 is about 15957.0717865152. The cubic root of 254628140 is about 633.8241741265.

The spelling of 254628140 in words is "two hundred fifty-four million, six hundred twenty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 67 94 130 134 188 235 260 268 311 335 470 611 622 670 871 940 1222 1244 1340 1555 1742 2444 3055 3110 3149 3484 4043 4355 6110 6220 6298 8086 8710 12220 12596 14617 15745 16172 17420 20215 20837 29234 31490 40430 40937 41674 58468 62980 73085 80860 81874 83348 104185 146170 163748 190021 204685 208370 270881 292340 380042 409370 416740 541762 760084 818740 950105 979339 1083524 1354405 1900210 1958678 2708810 3800420 3917356 4896695 5417620 9793390 12731407 19586780 25462814 50925628 63657035 127314070 254628140