Search a number
-
+
395169420 = 223517478243
BaseRepresentation
bin10111100011011…
…100111010001100
31000112120200112110
4113203130322030
51302130410140
6103113504020
712535612302
oct2743347214
91015520473
10395169420
111930766a8
12b0412010
1363b3c979
143a6a8272
1524a5c380
hex178dce8c

395169420 has 96 divisors (see below), whose sum is σ = 1196633088. Its totient is φ = 97057792.

The previous prime is 395169419. The next prime is 395169421. The reversal of 395169420 is 24961593.

It is an interprime number because it is at equal distance from previous prime (395169419) and next prime (395169421).

It is not an unprimeable number, because it can be changed into a prime (395169421) 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, 43819 + ... + 52061.

It is an arithmetic number, because the mean of its divisors is an integer number (12464928).

Almost surely, 2395169420 is an apocalyptic number.

395169420 is a gapful number since it is divisible by the number (30) 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 395169420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598316544).

395169420 is an abundant number, since it is smaller than the sum of its proper divisors (801463668).

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

395169420 is a wasteful number, since it uses less digits than its factorization.

395169420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8319 (or 8317 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 395169420 is about 19878.8686800834. The cubic root of 395169420 is about 733.8282779041.

The spelling of 395169420 in words is "three hundred ninety-five million, one hundred sixty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 47 51 60 68 85 94 102 141 170 188 204 235 255 282 340 470 510 564 705 799 940 1020 1410 1598 2397 2820 3196 3995 4794 7990 8243 9588 11985 15980 16486 23970 24729 32972 41215 47940 49458 82430 98916 123645 140131 164860 247290 280262 387421 420393 494580 560524 700655 774842 840786 1162263 1401310 1549684 1681572 1937105 2101965 2324526 2802620 3874210 4203930 4649052 5811315 6586157 7748420 8407860 11622630 13172314 19758471 23245260 26344628 32930785 39516942 65861570 79033884 98792355 131723140 197584710 395169420