Search a number
-
+
257094630 = 232513216903
BaseRepresentation
bin11110101001011…
…11001111100110
3122220202202112100
433110233033212
51011304012010
641302232530
76241161012
oct1724571746
9586682470
10257094630
1112213a001
1272125746
1341357a00
1426205542
15178862c0
hexf52f3e6

257094630 has 72 divisors (see below), whose sum is σ = 723863088. Its totient is φ = 63281088.

The previous prime is 257094613. The next prime is 257094631. The reversal of 257094630 is 36490752.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257094631) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6759 + ... + 23661.

It is an arithmetic number, because the mean of its divisors is an integer number (10053654).

Almost surely, 2257094630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257094630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361931544).

257094630 is an abundant number, since it is smaller than the sum of its proper divisors (466768458).

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

257094630 is a wasteful number, since it uses less digits than its factorization.

257094630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16942 (or 16926 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 257094630 is about 16034.1706988544. The cubic root of 257094630 is about 635.8641426913.

The spelling of 257094630 in words is "two hundred fifty-seven million, ninety-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2535 3042 5070 7605 15210 16903 33806 50709 84515 101418 152127 169030 219739 253545 304254 439478 507090 659217 760635 1098695 1318434 1521270 1977651 2197390 2856607 3296085 3955302 5713214 6592170 8569821 9888255 14283035 17139642 19776510 25709463 28566070 42849105 51418926 85698210 128547315 257094630