Search a number
-
+
819115140 = 22352393
BaseRepresentation
bin110000110100101…
…011010010000100
32010002022100201210
4300310223102010
53134143141030
6213140251420
726204235534
oct6064532204
92102270653
10819115140
11390407368
121aa3a0b70
1310091661c
147ab034c4
154bda0bb0
hex30d2b484

819115140 has 48 divisors (see below), whose sum is σ = 2303159040. Its totient is φ = 217516768.

The previous prime is 819115117. The next prime is 819115177. The reversal of 819115140 is 41511918.

It is a happy number.

It is a super-2 number, since 2×8191151402 = 1341899225154439200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 819115098 and 819115107.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1195 × 717 × 956.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3427141 + ... + 3427379.

It is an arithmetic number, because the mean of its divisors is an integer number (47982480).

Almost surely, 2819115140 is an apocalyptic number.

It is an amenable number.

819115140 is an abundant number, since it is smaller than the sum of its proper divisors (1484043900).

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

819115140 is an frugal number, since it uses more digits than its factorization.

819115140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 30.

The square root of 819115140 is about 28620.1876304122. The cubic root of 819115140 is about 935.6533662394.

The spelling of 819115140 in words is "eight hundred nineteen million, one hundred fifteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 239 478 717 956 1195 1434 2390 2868 3585 4780 7170 14340 57121 114242 171363 228484 285605 342726 571210 685452 856815 1142420 1713630 3427260 13651919 27303838 40955757 54607676 68259595 81911514 136519190 163823028 204778785 273038380 409557570 819115140