Search a number
-
+
257047660 = 22531597027
BaseRepresentation
bin11110101001000…
…11110001101100
3122220200101002201
433110203301230
51011301011120
641301231244
76240604042
oct1724436154
9586611081
10257047660
11122107791
1272102524
134133c50c
14261d2392
151787740a
hexf523c6c

257047660 has 48 divisors (see below), whose sum is σ = 566737920. Its totient is φ = 97801920.

The previous prime is 257047627. The next prime is 257047663. The reversal of 257047660 is 66740752.

It is a super-2 number, since 2×2570476602 = 132146999022951200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257047663) 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, 33067 + ... + 40093.

It is an arithmetic number, because the mean of its divisors is an integer number (11807040).

Almost surely, 2257047660 is an apocalyptic number.

257047660 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 257047660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283368960).

257047660 is an abundant number, since it is smaller than the sum of its proper divisors (309690260).

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

257047660 is a wasteful number, since it uses less digits than its factorization.

257047660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7126 (or 7124 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 257047660 is about 16032.7059475311. The cubic root of 257047660 is about 635.8254171867.

The spelling of 257047660 in words is "two hundred fifty-seven million, forty-seven thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 31 59 62 118 124 155 236 295 310 590 620 1180 1829 3658 7027 7316 9145 14054 18290 28108 35135 36580 70270 140540 217837 414593 435674 829186 871348 1089185 1658372 2072965 2178370 4145930 4356740 8291860 12852383 25704766 51409532 64261915 128523830 257047660