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257705140 = 225711167341
BaseRepresentation
bin11110101110001…
…00010010110100
3122221220202222211
433113010102310
51011433031030
641323303204
76246312640
oct1727042264
9587822884
10257705140
11122516760
127237ab04
134150c864
1426323c20
151795712a
hexf5c44b4

257705140 has 48 divisors (see below), whose sum is σ = 674722944. Its totient is φ = 80323200.

The previous prime is 257705101. The next prime is 257705141. The reversal of 257705140 is 41507752.

257705140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257705141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82131 + ... + 85210.

It is an arithmetic number, because the mean of its divisors is an integer number (14056728).

Almost surely, 2257705140 is an apocalyptic number.

257705140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257705140 is an abundant number, since it is smaller than the sum of its proper divisors (417017804).

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

257705140 is a wasteful number, since it uses less digits than its factorization.

257705140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167368 (or 167366 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 31.

The square root of 257705140 is about 16053.1971893452. The cubic root of 257705140 is about 636.3670632716.

The spelling of 257705140 in words is "two hundred fifty-seven million, seven hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 167341 334682 669364 836705 1171387 1673410 1840751 2342774 3346820 3681502 4685548 5856935 7363004 9203755 11713870 12885257 18407510 23427740 25770514 36815020 51541028 64426285 128852570 257705140