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257143420 = 22579162749
BaseRepresentation
bin11110101001110…
…11001001111100
3122220212020110101
433110323021330
51011312042140
641303250444
76241453162
oct1724731174
9586766411
10257143420
11122172726
1272149a24
1341373c91
1426219232
151789599a
hexf53b27c

257143420 has 24 divisors (see below), whose sum is σ = 546840000. Its totient is φ = 101554752.

The previous prime is 257143409. The next prime is 257143423. The reversal of 257143420 is 24341752.

It is a super-2 number, since 2×2571434202 = 132245476898592800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257143423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79795 + ... + 82954.

It is an arithmetic number, because the mean of its divisors is an integer number (22785000).

Almost surely, 2257143420 is an apocalyptic number.

257143420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257143420 is an abundant number, since it is smaller than the sum of its proper divisors (289696580).

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

257143420 is a wasteful number, since it uses less digits than its factorization.

257143420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162837 (or 162835 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 257143420 is about 16035.6920648907. The cubic root of 257143420 is about 635.9043637430.

The spelling of 257143420 in words is "two hundred fifty-seven million, one hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 79 158 316 395 790 1580 162749 325498 650996 813745 1627490 3254980 12857171 25714342 51428684 64285855 128571710 257143420