Search a number
-
+
9031087440 = 243354181059
BaseRepresentation
bin10000110100100101…
…10111010101010000
3212022101120202222000
420122102313111100
5121443424244230
64052051314000
7436540655664
oct103222672520
925271522860
109031087440
1139148a4731
1219005ab900
13b0c04622b
146195c88a4
1537ccbcb60
hex21a4b7550

9031087440 has 80 divisors (see below), whose sum is σ = 31107086400. Its totient is φ = 2408289408.

The previous prime is 9031087433. The next prime is 9031087441. The reversal of 9031087440 is 447801309.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9031087395 and 9031087404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9031087441) 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, 2088370 + ... + 2092689.

It is an arithmetic number, because the mean of its divisors is an integer number (388838580).

Almost surely, 29031087440 is an apocalyptic number.

9031087440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9031087440 is an abundant number, since it is smaller than the sum of its proper divisors (22075998960).

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

9031087440 is a wasteful number, since it uses less digits than its factorization.

9031087440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181081 (or 4181069 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 9031087440 is about 95032.0337570443. The cubic root of 9031087440 is about 2082.4760515619.

Adding to 9031087440 its reverse (447801309), we get a palindrome (9478888749).

The spelling of 9031087440 in words is "nine billion, thirty-one million, eighty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 4181059 8362118 12543177 16724236 20905295 25086354 33448472 37629531 41810590 50172708 62715885 66896944 75259062 83621180 100345416 112888593 125431770 150518124 167242360 188147655 200690832 225777186 250863540 301036248 334484720 376295310 451554372 501727080 564442965 602072496 752590620 903108744 1003454160 1128885930 1505181240 1806217488 2257771860 3010362480 4515543720 9031087440