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4906960 = 24583739
BaseRepresentation
bin10010101101111111010000
3100020022002021
4102231333100
52224010320
6253101224
756465002
oct22557720
910208067
104906960
112851743
121787814
13102a636
1491a372
1566ddaa
hex4adfd0

4906960 has 40 divisors (see below), whose sum is σ = 11561760. Its totient is φ = 1936512.

The previous prime is 4906949. The next prime is 4906963. The reversal of 4906960 is 696094.

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4906963) 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, 6271 + ... + 7009.

It is an arithmetic number, because the mean of its divisors is an integer number (289044).

Almost surely, 24906960 is an apocalyptic number.

4906960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4906960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5780880).

4906960 is an abundant number, since it is smaller than the sum of its proper divisors (6654800).

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

4906960 is a wasteful number, since it uses less digits than its factorization.

4906960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 4906960 is about 2215.1659080078. The cubic root of 4906960 is about 169.9303059185.

The spelling of 4906960 in words is "four million, nine hundred six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 739 830 1328 1478 1660 2956 3320 3695 5912 6640 7390 11824 14780 29560 59120 61337 122674 245348 306685 490696 613370 981392 1226740 2453480 4906960