Search a number
-
+
7916040 = 23325111999
BaseRepresentation
bin11110001100101000001000
3112220011202200
4132030220020
54011303130
6441400200
7124166556
oct36145010
915804680
107916040
114517490
122799060
131842162
1410a0bd6
15a65760
hex78ca08

7916040 has 96 divisors (see below), whose sum is σ = 28080000. Its totient is φ = 1918080.

The previous prime is 7916023. The next prime is 7916053. The reversal of 7916040 is 406197.

It is a junction number, because it is equal to n+sod(n) for n = 7915995 and 7916013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2961 + ... + 4959.

It is an arithmetic number, because the mean of its divisors is an integer number (292500).

Almost surely, 27916040 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 7916040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14040000).

7916040 is an abundant number, since it is smaller than the sum of its proper divisors (20163960).

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

7916040 is a wasteful number, since it uses less digits than its factorization.

7916040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 7916040 is about 2813.5458055628. The cubic root of 7916040 is about 199.2978712942.

The spelling of 7916040 in words is "seven million, nine hundred sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 1999 3960 3998 5997 7996 9995 11994 15992 17991 19990 21989 23988 29985 35982 39980 43978 47976 59970 65967 71964 79960 87956 89955 109945 119940 131934 143928 175912 179910 197901 219890 239880 263868 329835 359820 395802 439780 527736 659670 719640 791604 879560 989505 1319340 1583208 1979010 2638680 3958020 7916040