Search a number
-
+
815628940 = 225721127611
BaseRepresentation
bin110000100111011…
…000001010001100
32002211202020120021
4300213120022030
53132300111230
6212533431524
726132505640
oct6047301214
92084666507
10815628940
11389446105
121a919b5a4
13ccc95899
147a476c20
154b912c7a
hex309d828c

815628940 has 48 divisors (see below), whose sum is σ = 1966857984. Its totient is φ = 278308800.

The previous prime is 815628917. The next prime is 815628953. The reversal of 815628940 is 49826518.

It is a happy number.

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, 15735 + ... + 43345.

It is an arithmetic number, because the mean of its divisors is an integer number (40976208).

Almost surely, 2815628940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 815628940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983428992).

815628940 is an abundant number, since it is smaller than the sum of its proper divisors (1151229044).

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

815628940 is a wasteful number, since it uses less digits than its factorization.

815628940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27838 (or 27836 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 815628940 is about 28559.2181265524. The cubic root of 815628940 is about 934.3240808708.

The spelling of 815628940 in words is "eight hundred fifteen million, six hundred twenty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 211 422 844 1055 1477 2110 2954 4220 5908 7385 14770 27611 29540 55222 110444 138055 193277 276110 386554 552220 773108 966385 1932770 3865540 5825921 11651842 23303684 29129605 40781447 58259210 81562894 116518420 163125788 203907235 407814470 815628940