Search a number
-
+
7960368 = 2431312757
BaseRepresentation
bin11110010111011100110000
3112222102120110
4132113130300
54014212433
6442341320
7124443033
oct36273460
915872513
107960368
114547819
1227ba840
1318593a0
1410b301a
15a73963
hex797730

7960368 has 40 divisors (see below), whose sum is σ = 22147888. Its totient is φ = 2449152.

The previous prime is 7960363. The next prime is 7960399. The reversal of 7960368 is 8630697.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7960361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5755 + ... + 7002.

Almost surely, 27960368 is an apocalyptic number.

7960368 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

7960368 is an abundant number, since it is smaller than the sum of its proper divisors (14187520).

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

7960368 is a wasteful number, since it uses less digits than its factorization.

7960368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12781 (or 12775 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 7960368 is about 2821.4124122503. The cubic root of 7960368 is about 199.6691864470.

The spelling of 7960368 in words is "seven million, nine hundred sixty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 12757 25514 38271 51028 76542 102056 153084 165841 204112 306168 331682 497523 612336 663364 995046 1326728 1990092 2653456 3980184 7960368