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4931680 = 255132371
BaseRepresentation
bin10010110100000001100000
3100021112222211
4102310001200
52230303210
6253411504
756630035
oct22640140
910245884
104931680
112869276
121799b94
131038970
1492538c
1567638a
hex4b4060

4931680 has 48 divisors (see below), whose sum is σ = 12552624. Its totient is φ = 1820160.

The previous prime is 4931671. The next prime is 4931687. The reversal of 4931680 is 861394.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4931687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 895 + ... + 3265.

It is an arithmetic number, because the mean of its divisors is an integer number (261513).

Almost surely, 24931680 is an apocalyptic number.

4931680 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 4931680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6276312).

4931680 is an abundant number, since it is smaller than the sum of its proper divisors (7620944).

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

4931680 is a wasteful number, since it uses less digits than its factorization.

4931680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 4931680 is about 2220.7386158664. The cubic root of 4931680 is about 170.2151831040.

The spelling of 4931680 in words is "four million, nine hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 2371 4742 9484 11855 18968 23710 30823 37936 47420 61646 75872 94840 123292 154115 189680 246584 308230 379360 493168 616460 986336 1232920 2465840 4931680