Search a number
-
+
395062080 = 2635758789
BaseRepresentation
bin10111100011000…
…010101101000000
31000112101020021220
4113203002231000
51302113441310
6103111315040
712534654330
oct2743025500
91015336256
10395062080
11193002a96
12b037ba80
1363b02b5a
143a67b0c0
1524a3a670
hex178c2b40

395062080 has 112 divisors (see below), whose sum is σ = 1433535360. Its totient is φ = 90298368.

The previous prime is 395062069. The next prime is 395062081. The reversal of 395062080 is 80260593.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395062081) 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, 22675 + ... + 36114.

Almost surely, 2395062080 is an apocalyptic number.

395062080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

395062080 is an abundant number, since it is smaller than the sum of its proper divisors (1038473280).

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

395062080 is a wasteful number, since it uses less digits than its factorization.

395062080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58816 (or 58806 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 395062080 is about 19876.1686448873. The cubic root of 395062080 is about 733.7618285480.

The spelling of 395062080 in words is "three hundred ninety-five million, sixty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 58789 117578 176367 235156 293945 352734 411523 470312 587890 705468 823046 881835 940624 1175780 1234569 1410936 1646092 1763670 1881248 2057615 2351560 2469138 2821872 3292184 3527340 3762496 4115230 4703120 4938276 5643744 6172845 6584368 7054680 8230460 9406240 9876552 11287488 12345690 13168736 14109360 16460920 18812480 19753104 24691380 26337472 28218720 32921840 39506208 49382760 56437440 65843680 79012416 98765520 131687360 197531040 395062080