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257676240 = 24351073651
BaseRepresentation
bin11110101101111…
…01001111010000
3122221212022100110
433112331033100
51011431114430
641322521320
76246132453
oct1726751720
9587768313
10257676240
111224a6a78
1272366240
13414cc663
142631749a
151794d7b0
hexf5bd3d0

257676240 has 40 divisors (see below), whose sum is σ = 798797088. Its totient is φ = 68713600.

The previous prime is 257676227. The next prime is 257676241. The reversal of 257676240 is 42676752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257676241) 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, 536586 + ... + 537065.

Almost surely, 2257676240 is an apocalyptic number.

257676240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257676240 is an abundant number, since it is smaller than the sum of its proper divisors (541120848).

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

257676240 is a wasteful number, since it uses less digits than its factorization.

257676240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073667 (or 1073661 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 257676240 is about 16052.2970318892. The cubic root of 257676240 is about 636.3432742031.

The spelling of 257676240 in words is "two hundred fifty-seven million, six hundred seventy-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1073651 2147302 3220953 4294604 5368255 6441906 8589208 10736510 12883812 16104765 17178416 21473020 25767624 32209530 42946040 51535248 64419060 85892080 128838120 257676240