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4812080 = 245713661
BaseRepresentation
bin10010010110110100110000
3100001110221012
4102112310300
52212441310
6251050052
755621250
oct22266460
910043835
104812080
112797429
121740928
13cc63b0
148d3960
15650c05
hex496d30

4812080 has 80 divisors (see below), whose sum is σ = 13790784. Its totient is φ = 1520640.

The previous prime is 4812079. The next prime is 4812089. The reversal of 4812080 is 802184.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×48120802 = 46312227852800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4812089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6950 + ... + 7610.

Almost surely, 24812080 is an apocalyptic number.

4812080 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 4812080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6895392).

4812080 is an abundant number, since it is smaller than the sum of its proper divisors (8978704).

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

4812080 is a wasteful number, since it uses less digits than its factorization.

4812080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 4812080 is about 2193.6453678751. The cubic root of 4812080 is about 168.8279237738.

The spelling of 4812080 in words is "four million, eight hundred twelve thousand, eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 661 728 910 1040 1322 1456 1820 2644 3305 3640 4627 5288 6610 7280 8593 9254 10576 13220 17186 18508 23135 26440 34372 37016 42965 46270 52880 60151 68744 74032 85930 92540 120302 137488 171860 185080 240604 300755 343720 370160 481208 601510 687440 962416 1203020 2406040 4812080