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4680368 = 2471129131
BaseRepresentation
bin10001110110101010110000
322210210020222
4101312222300
52144232433
6244152212
754532250
oct21665260
98723228
104680368
112707480
121698668
13c7b464
1489b960
15626b98
hex476ab0

4680368 has 80 divisors (see below), whose sum is σ = 11784960. Its totient is φ = 1747200.

The previous prime is 4680353. The next prime is 4680371. The reversal of 4680368 is 8630864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35663 + ... + 35793.

It is an arithmetic number, because the mean of its divisors is an integer number (147312).

Almost surely, 24680368 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 4680368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892480).

4680368 is an abundant number, since it is smaller than the sum of its proper divisors (7104592).

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

4680368 is a wasteful number, since it uses less digits than its factorization.

4680368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 4680368 is about 2163.4158176365. The cubic root of 4680368 is about 167.2733162894.

The spelling of 4680368 in words is "four million, six hundred eighty thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 56 58 77 88 112 116 131 154 176 203 232 262 308 319 406 464 524 616 638 812 917 1048 1232 1276 1441 1624 1834 2096 2233 2552 2882 3248 3668 3799 4466 5104 5764 7336 7598 8932 10087 11528 14672 15196 17864 20174 23056 26593 30392 35728 40348 41789 53186 60784 80696 83578 106372 161392 167156 212744 292523 334312 425488 585046 668624 1170092 2340184 4680368