Search a number
-
+
39940200 = 23325222189
BaseRepresentation
bin1001100001011…
…1000001101000
32210011011122200
42120113001220
540211041300
63544020200
7663325506
oct230270150
983134580
1039940200
11205aa733
1211461660
138375571
145439676
15378e200
hex2617068

39940200 has 72 divisors (see below), whose sum is σ = 134138550. Its totient is φ = 10650240.

The previous prime is 39940193. The next prime is 39940247. The reversal of 39940200 is 204993.

It can be written as a sum of positive squares in 3 ways, for example, as 32421636 + 7518564 = 5694^2 + 2742^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9295 + ... + 12894.

Almost surely, 239940200 is an apocalyptic number.

39940200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

39940200 is an abundant number, since it is smaller than the sum of its proper divisors (94198350).

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

39940200 is a wasteful number, since it uses less digits than its factorization.

39940200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22211 (or 22199 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 39940200 is about 6319.8259469704. The cubic root of 39940200 is about 341.8246767323.

The spelling of 39940200 in words is "thirty-nine million, nine hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 22189 44378 66567 88756 110945 133134 177512 199701 221890 266268 332835 399402 443780 532536 554725 665670 798804 887560 998505 1109450 1331340 1597608 1664175 1997010 2218900 2662680 3328350 3994020 4437800 4992525 6656700 7988040 9985050 13313400 19970100 39940200