Search a number
-
+
3900170430 = 23251317196087
BaseRepresentation
bin1110100001110111…
…1110000010111110
3101001210212012000200
43220131332002332
530441420423210
61443002104330
7165435621162
oct35035760276
911053765020
103900170430
1117215a9852
1290a1ab0a6
134a203a670
1428dda8ca2
1517c6060c0
hexe877e0be

3900170430 has 96 divisors (see below), whose sum is σ = 11562917184. Its totient is φ = 903564288.

The previous prime is 3900170429. The next prime is 3900170431. The reversal of 3900170430 is 340710093.

It is an interprime number because it is at equal distance from previous prime (3900170429) and next prime (3900170431).

It is a super-2 number, since 2×39001704302 = 30422658766092769800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3900170394 and 3900170403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3900170431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78154 + ... + 117933.

It is an arithmetic number, because the mean of its divisors is an integer number (120447054).

Almost surely, 23900170430 is an apocalyptic number.

3900170430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3900170430 is an abundant number, since it is smaller than the sum of its proper divisors (7662746754).

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

3900170430 is a wasteful number, since it uses less digits than its factorization.

3900170430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196130 (or 196127 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3900170430 is about 62451.3445011394. The cubic root of 3900170430 is about 1574.0838451181.

The spelling of 3900170430 in words is "three billion, nine hundred million, one hundred seventy thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1105 1170 1326 1530 1989 2210 3315 3978 6630 9945 19890 196087 392174 588261 980435 1176522 1764783 1960870 2549131 2941305 3333479 3529566 5098262 5882610 6666958 7647393 8823915 10000437 12745655 15294786 16667395 17647830 20000874 22942179 25491310 30001311 33334790 38236965 43335227 45884358 50002185 60002622 76473930 86670454 100004370 114710895 130005681 150006555 216676135 229421790 260011362 300013110 390017043 433352270 650028405 780034086 1300056810 1950085215 3900170430