Search a number
-
+
95040 = 2633511
BaseRepresentation
bin10111001101000000
311211101000
4113031000
511020130
62012000
7544041
oct271500
9154330
1095040
1165450
1247000
133434a
14268c8
151d260
hex17340

95040 has 112 divisors (see below), whose sum is σ = 365760. Its totient is φ = 23040.

The previous prime is 95027. The next prime is 95063. The reversal of 95040 is 4059.

95040 divided by its product of nonzero digits (180) gives a triangular number (528 = T32).

Adding to 95040 its reverse (4059), we get a palindrome (99099).

It can be divided in two parts, 950 and 40, that added together give a triangular number (990 = T44).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8635 + ... + 8645.

295040 is an apocalyptic number.

95040 is a gapful number since it is divisible by the number (90) 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 95040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182880).

95040 is an abundant number, since it is smaller than the sum of its proper divisors (270720).

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

95040 is a wasteful number, since it uses less digits than its factorization.

95040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 95040 is about 308.2855818880. The cubic root of 95040 is about 45.6354295291.

The spelling of 95040 in words is "ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 64 66 72 80 88 90 96 99 108 110 120 132 135 144 160 165 176 180 192 198 216 220 240 264 270 288 297 320 330 352 360 396 432 440 480 495 528 540 576 594 660 704 720 792 864 880 960 990 1056 1080 1188 1320 1440 1485 1584 1728 1760 1980 2112 2160 2376 2640 2880 2970 3168 3520 3960 4320 4752 5280 5940 6336 7920 8640 9504 10560 11880 15840 19008 23760 31680 47520 95040