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4621680 = 2432572131
BaseRepresentation
bin10001101000010101110000
322200210202100
4101220111300
52140343210
6243020400
754166200
oct21502560
98623670
104621680
112677378
12166a700
13c5a82b
14884400
156145c0
hex468570

4621680 has 180 divisors, whose sum is σ = 18193032. Its totient is φ = 1048320.

The previous prime is 4621679. The next prime is 4621691. The reversal of 4621680 is 861264.

4621680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35215 + ... + 35345.

Almost surely, 24621680 is an apocalyptic number.

4621680 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 4621680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9096516).

4621680 is an abundant number, since it is smaller than the sum of its proper divisors (13571352).

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

4621680 is a wasteful number, since it uses less digits than its factorization.

4621680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4621680 is about 2149.8092938677. The cubic root of 4621680 is about 166.5712164571.

The spelling of 4621680 in words is "four million, six hundred twenty-one thousand, six hundred eighty".