Search a number
-
+
257234940 = 223755881
BaseRepresentation
bin11110101010100…
…01011111111100
3122221000220000000
433111101133330
51011323004230
641305234300
76242314044
oct1725213774
9587026000
10257234940
11122225466
1272192990
13413a6831
1426240724
15178b2b60
hexf5517fc

257234940 has 96 divisors (see below), whose sum is σ = 810304320. Its totient is φ = 68584320.

The previous prime is 257234933. The next prime is 257234947. The reversal of 257234940 is 49432752.

257234940 is a `hidden beast` number, since 2 + 572 + 3 + 49 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (257234933) and next prime (257234947).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 257234895 and 257234904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257234947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40800 + ... + 46680.

It is an arithmetic number, because the mean of its divisors is an integer number (8440670).

Almost surely, 2257234940 is an apocalyptic number.

257234940 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 257234940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405152160).

257234940 is an abundant number, since it is smaller than the sum of its proper divisors (553069380).

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

257234940 is an equidigital number, since it uses as much as digits as its factorization.

257234940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5911 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 257234940 is about 16038.5454452703. The cubic root of 257234940 is about 635.9797964390.

The spelling of 257234940 in words is "two hundred fifty-seven million, two hundred thirty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2187 2430 2916 3645 4374 4860 5881 7290 8748 10935 11762 14580 17643 21870 23524 29405 35286 43740 52929 58810 70572 88215 105858 117620 158787 176430 211716 264645 317574 352860 476361 529290 635148 793935 952722 1058580 1429083 1587870 1905444 2381805 2858166 3175740 4287249 4763610 5716332 7145415 8574498 9527220 12861747 14290830 17148996 21436245 25723494 28581660 42872490 51446988 64308735 85744980 128617470 257234940